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
Δ	1478750000000 = 27 · 510 · 7 · 132	Discriminant
Eigenvalues	2- -2 5- 7+ -4 13+  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5625,-151943]	[a1,a2,a3,a4,a6]
Generators	[-46:123:1]	Generators of the group modulo torsion
j	19683218700810001/1478750000000	j-invariant
L	2.5781642663916	L(r)(E,1)/r!
Ω	0.55389384879093	Real period
R	0.13298908508085	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	7280v2 29120c2 8190j2 4550j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 910k2

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 910k2

-4	8	-3	5	-7	-11	13
7280v2	29120c2	8190j2	4550j2	6370q2	110110bl2	11830d2

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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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