Cremona's table of elliptic curves

94640 = 2⁴ · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	94640r	Isogeny class
Conductor	94640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	137795840 = 28 · 5 · 72 · 133	Discriminant
Eigenvalues	2+ -2 5+ 7- -2 13-  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-316,-2196]	[a1,a2,a3,a4,a6]
Generators	[-10:8:1]	Generators of the group modulo torsion
j	6224272/245	j-invariant
L	3.5837088443673	L(r)(E,1)/r!
Ω	1.1347901463596	Real period
R	1.579018315157	Regulator
r	1	Rank of the group of rational points
S	0.9999999984497	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	47320d2 94640bd2	Quadratic twists by: -4 13

Hecke Eigenvalues for elliptic curve 94640r2

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

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Quadratic twists for elliptic curve 94640r2

-4	13
47320d2	94640bd2

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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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