Cremona's table of elliptic curves

40425 = 3 · 5² · 7² · 11

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	40425ca	Isogeny class
Conductor	40425	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-15631678506675 = -1 · 3 · 52 · 76 · 116	Discriminant
Eigenvalues	0 3- 5+ 7- 11+ -1 -6  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,6207,-25546]	[a1,a2,a3,a4,a6]
Generators	[20842:143288:4913]	Generators of the group modulo torsion
j	8990228480/5314683	j-invariant
L	5.2711896151039	L(r)(E,1)/r!
Ω	0.40913283923788	Real period
R	6.4419048161968	Regulator
r	1	Rank of the group of rational points
S	1.0000000000004	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121275dt2 40425bd2 825a2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 40425ca2

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
0	-	+	-	+	-1	-6	7	-6	-6	7	-2	6	1	0	6	0	-5	-5	-12	14	-4	-6	-6	17

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Quadratic twists for elliptic curve 40425ca2

-3	5	-7
121275dt2	40425bd2	825a2

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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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