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	25200fl	Isogeny class
Conductor	25200	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	322560	Modular degree for the optimal curve
Δ	-303933691293750000 = -1 · 24 · 310 · 58 · 77	Discriminant
Eigenvalues	2- 3- 5- 7- -1 -2 -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-904125,331956875]	[a1,a2,a3,a4,a6]
Generators	[250:11025:1]	Generators of the group modulo torsion
j	-17939139239680/66706983	j-invariant
L	5.1093294898124	L(r)(E,1)/r!
Ω	0.3080687975281	Real period
R	0.39488160798659	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	6300u1 100800ph1 8400bs1 25200dr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 25200fl1

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	-2	-8	2	1	-1	-6	9	0	1	6	-2	-6	8	3	7	16	-1	-6	14	14

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Quadratic twists for elliptic curve 25200fl1

-4	8	-3	5
6300u1	100800ph1	8400bs1	25200dr1

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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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