Cremona's table of elliptic curves

2925 = 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	2925k	Isogeny class
Conductor	2925	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-48125390625 = -1 · 36 · 58 · 132	Discriminant
Eigenvalues	-1 3- 5+  4 -2 13-  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,895,-2478]	[a1,a2,a3,a4,a6]
Generators	[14:105:1]	Generators of the group modulo torsion
j	6967871/4225	j-invariant
L	2.38690462756	L(r)(E,1)/r!
Ω	0.65647802166599	Real period
R	0.90898116493779	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	46800ek2 325c2 585h2 38025bh2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2925k2

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	-	+	4	-2	-	2	-6	-6	-2	-10	2	6	-10	4	2	-6	2	4	-6	6	-12	-16	-2	2

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Quadratic twists for elliptic curve 2925k2

-4	-3	5	13
46800ek2	325c2	585h2	38025bh2

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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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