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	2325k	Isogeny class
Conductor	2325	Conductor
∏ cp	63	Product of Tamagawa factors cp
deg	36288	Modular degree for the optimal curve
Δ	13538269588670325 = 39 · 52 · 317	Discriminant
Eigenvalues	-2 3- 5+ -4 -5  6  5 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-63478,2539234]	[a1,a2,a3,a4,a6]
Generators	[-256:1441:1]	Generators of the group modulo torsion
j	1131514829301821440/541530783546813	j-invariant
L	1.7447777363661	L(r)(E,1)/r!
Ω	0.35412742389184	Real period
R	0.078205986985869	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37200br1 6975l1 2325e1 113925z1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2325k1

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
-2	-	+	-4	-5	6	5	-5	1	3	-	-2	6	6	-2	-3	-10	-14	-11	6	-14	0	1	-7	-3

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Quadratic twists for elliptic curve 2325k1

-4	-3	5	-7	-31
37200br1	6975l1	2325e1	113925z1	72075n1

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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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