Cremona's table of elliptic curves

6435 = 3² · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	6435g	Isogeny class
Conductor	6435	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	400119271695 = 316 · 5 · 11 · 132	Discriminant
Eigenvalues	-1 3- 5+ -2 11+ 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2048,-18084]	[a1,a2,a3,a4,a6]
Generators	[-19:126:1]	Generators of the group modulo torsion
j	1302528459961/548860455	j-invariant
L	2.1142423743025	L(r)(E,1)/r!
Ω	0.73692485336064	Real period
R	1.4345033721287	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	102960dw2 2145c2 32175g2 70785j2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6435g2

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
-1	-	+	-2	+	-	6	0	-4	-8	-6	8	2	8	-8	0	0	-10	16	8	2	16	-8	10	0

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Quadratic twists for elliptic curve 6435g2

-4	-3	5	-11	13
102960dw2	2145c2	32175g2	70785j2	83655bb2

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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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