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	910k	Isogeny class
Conductor	910	Conductor
∏ cp	140	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	32614400000 = 214 · 55 · 72 · 13	Discriminant
Eigenvalues	2- -2 5- 7+ -4 13+  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1145,12025]	[a1,a2,a3,a4,a6]
Generators	[-30:155:1]	Generators of the group modulo torsion
j	166021325905681/32614400000	j-invariant
L	2.5781642663916	L(r)(E,1)/r!
Ω	1.1077876975819	Real period
R	0.066494542540425	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	7280v1 29120c1 8190j1 4550j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910k1

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

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Quadratic twists for elliptic curve 910k1

-4	8	-3	5	-7	-11	13
7280v1	29120c1	8190j1	4550j1	6370q1	110110bl1	11830d1

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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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