Cremona's table of elliptic curves

25410 = 2 · 3 · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	25410ch	Isogeny class
Conductor	25410	Conductor
∏ cp	504	Product of Tamagawa factors cp
deg	5322240	Modular degree for the optimal curve
Δ	-2.0792345012075E+24	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-31672781,-97573936239]	[a1,a2,a3,a4,a6]
Generators	[16786:2016607:1]	Generators of the group modulo torsion
j	-1490212288072889459/881798400000000	j-invariant
L	8.887811855215	L(r)(E,1)/r!
Ω	0.030979219407484	Real period
R	2.2769517978901	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	76230bm1 127050o1 25410y1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 25410ch1

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	-4	-6	2	-2	2	0	10	12	-8	4	14	-4	2	-6	-8	-2	10	-14

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Quadratic twists for elliptic curve 25410ch1

-3	5	-11
76230bm1	127050o1	25410y1

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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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