Cremona's table of elliptic curves

2325 = 3 · 5² · 31

Field	Data	Notes
Atkin-Lehner	3+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	2325b	Isogeny class
Conductor	2325	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-216450234375 = -1 · 3 · 57 · 314	Discriminant
Eigenvalues	1 3+ 5+  4 -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1500,1875]	[a1,a2,a3,a4,a6]
Generators	[4820:45015:64]	Generators of the group modulo torsion
j	23862997439/13852815	j-invariant
L	3.4535518665139	L(r)(E,1)/r!
Ω	0.60016099598563	Real period
R	5.7543757252039	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	37200di3 6975g4 465b4 113925ci3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2325b4

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	-4	-2	6	-4	0	-6	+	-10	-6	12	0	2	-8	6	-8	-12	-6	-8	-12	6	6

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Quadratic twists for elliptic curve 2325b4

-4	-3	5	-7	-31
37200di3	6975g4	465b4	113925ci3	72075bd3

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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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