Cremona's table of elliptic curves

2262 = 2 · 3 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 29-	Signs for the Atkin-Lehner involutions
Class	2262c	Isogeny class
Conductor	2262	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	21840	Modular degree for the optimal curve
Δ	-743761560420918 = -1 · 2 · 35 · 137 · 293	Discriminant
Eigenvalues	2+ 3+ -4  4 -1 13- -7 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,5833,-1298445]	[a1,a2,a3,a4,a6]
Generators	[1003:31355:1]	Generators of the group modulo torsion
j	21942358211971079/743761560420918	j-invariant
L	1.7127060177687	L(r)(E,1)/r!
Ω	0.24376037770358	Real period
R	0.33458033740305	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18096bj1 72384y1 6786q1 56550bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2262c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-4	4	-1	-	-7	-2	6	-	-1	4	2	-11	2	5	10	1	-7	7	11	-16	0	-4	-14

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Quadratic twists for elliptic curve 2262c1

-4	8	-3	5	-7	13	29
18096bj1	72384y1	6786q1	56550bw1	110838bd1	29406s1	65598bm1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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