Cremona's table of elliptic curves

35490 = 2 · 3 · 5 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	35490co	Isogeny class
Conductor	35490	Conductor
∏ cp	640	Product of Tamagawa factors cp
Δ	230231838695040000 = 210 · 32 · 54 · 72 · 138	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-946995,-354349455]	[a1,a2,a3,a4,a6]
Generators	[-567:1128:1]	Generators of the group modulo torsion
j	19458380202497209/47698560000	j-invariant
L	7.2992198519945	L(r)(E,1)/r!
Ω	0.15306525016012	Real period
R	1.1921745537211	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	106470bf2 2730d2	Quadratic twists by: -3 13

Hecke Eigenvalues for elliptic curve 35490co2

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
-	+	-	+	-4	+	2	-4	4	2	8	6	-10	-4	0	-6	-8	10	8	16	-14	-16	-16	-18	10

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Quadratic twists for elliptic curve 35490co2

-3	13
106470bf2	2730d2

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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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