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	25410ct	Isogeny class
Conductor	25410	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	-1130246919355900500 = -1 · 22 · 312 · 53 · 74 · 116	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,232620,-27393948]	[a1,a2,a3,a4,a6]
Generators	[384:-11082:1]	Generators of the group modulo torsion
j	785793873833639/637994920500	j-invariant
L	10.252889756667	L(r)(E,1)/r!
Ω	0.15239894950075	Real period
R	0.93439782286476	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	76230t4 127050bf4 210b5	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 25410ct4

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

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Quadratic twists for elliptic curve 25410ct4

-3	5	-11
76230t4	127050bf4	210b5

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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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