Cremona's table of elliptic curves

2210 = 2 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5- 13- 17+	Signs for the Atkin-Lehner involutions
Class	2210b	Isogeny class
Conductor	2210	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	179562500 = 22 · 56 · 132 · 17	Discriminant
Eigenvalues	2+ -2 5-  2  0 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-5543,158358]	[a1,a2,a3,a4,a6]
Generators	[-61:550:1]	Generators of the group modulo torsion
j	18829800329506921/179562500	j-invariant
L	1.8666977131596	L(r)(E,1)/r!
Ω	1.6263615913732	Real period
R	1.7216629958503	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	17680l1 70720b1 19890z1 11050l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2210b1

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
+	-2	-	2	0	-	+	-4	0	0	-10	-10	0	8	0	6	-12	8	-4	6	8	-4	12	6	8

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Quadratic twists for elliptic curve 2210b1

-4	8	-3	5	-7	13	17
17680l1	70720b1	19890z1	11050l1	108290h1	28730u1	37570a1

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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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