Cremona's table of elliptic curves

910 = 2 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	910c	Isogeny class
Conductor	910	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	12235496000 = 26 · 53 · 76 · 13	Discriminant
Eigenvalues	2+ -2 5+ 7-  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-949,-9984]	[a1,a2,a3,a4,a6]
Generators	[-21:38:1]	Generators of the group modulo torsion
j	94376601570889/12235496000	j-invariant
L	1.3176683943444	L(r)(E,1)/r!
Ω	0.86762790352222	Real period
R	0.50623406224228	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7280n3 29120x3 8190bu3 4550q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910c3

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

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Quadratic twists for elliptic curve 910c3

-4	8	-3	5	-7	-11	13
7280n3	29120x3	8190bu3	4550q3	6370h3	110110bt3	11830x3

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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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