Cremona's table of elliptic curves

4901 = 13² · 29

Field	Data	Notes
Atkin-Lehner	13+ 29-	Signs for the Atkin-Lehner involutions
Class	4901c	Isogeny class
Conductor	4901	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2352	Modular degree for the optimal curve
Δ	1819706993 = 137 · 29	Discriminant
Eigenvalues	-1  0  2  0  4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1384,20050]	[a1,a2,a3,a4,a6]
j	60698457/377	j-invariant
L	1.4936339986819	L(r)(E,1)/r!
Ω	1.4936339986819	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	78416r1 44109s1 122525h1 377a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4901c1

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
-1	0	2	0	4	+	2	4	8	-	8	-2	10	-8	-8	6	-12	6	-12	16	10	-12	12	10	-14

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Quadratic twists for elliptic curve 4901c1

-4	-3	5	13
78416r1	44109s1	122525h1	377a1

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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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