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	25410cr	Isogeny class
Conductor	25410	Conductor
∏ cp	320	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	-5303628459360000 = -1 · 28 · 35 · 54 · 7 · 117	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,31034,-2799004]	[a1,a2,a3,a4,a6]
Generators	[98:1040:1]	Generators of the group modulo torsion
j	1865864036231/2993760000	j-invariant
L	9.8901644415406	L(r)(E,1)/r!
Ω	0.22662643269191	Real period
R	0.54551030985571	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	76230cj1 127050e1 2310f1	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 25410cr1

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

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Quadratic twists for elliptic curve 25410cr1

-3	5	-11
76230cj1	127050e1	2310f1

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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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