Cremona's table of elliptic curves

25200 = 2⁴ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	25200cz	Isogeny class
Conductor	25200	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	46313705340000000 = 28 · 39 · 57 · 76	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-95175,4529250]	[a1,a2,a3,a4,a6]
Generators	[426:6426:1]	Generators of the group modulo torsion
j	1210991472/588245	j-invariant
L	5.7403022803831	L(r)(E,1)/r!
Ω	0.31899137699331	Real period
R	2.9991940714767	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	6300b4 100800js4 25200cy2 5040z4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200cz4

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

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Quadratic twists for elliptic curve 25200cz4

-4	8	-3	5
6300b4	100800js4	25200cy2	5040z4

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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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