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	910j	Isogeny class
Conductor	910	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	834928640 = 218 · 5 · 72 · 13	Discriminant
Eigenvalues	2- -2 5+ 7-  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1196,15760]	[a1,a2,a3,a4,a6]
j	189208196468929/834928640	j-invariant
L	1.5932468473448	L(r)(E,1)/r!
Ω	1.5932468473448	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	7280o1 29120w1 8190x1 4550c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910j1

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

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Quadratic twists for elliptic curve 910j1

-4	8	-3	5	-7	-11	13
7280o1	29120w1	8190x1	4550c1	6370v1	110110i1	11830i1

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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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