Cremona's table of elliptic curves

25840 = 2⁴ · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	25840q	Isogeny class
Conductor	25840	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-4776058880 = -1 · 213 · 5 · 17 · 193	Discriminant
Eigenvalues	2- -1 5+  4  3 -4 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,264,2800]	[a1,a2,a3,a4,a6]
j	494913671/1166030	j-invariant
L	1.9101017054853	L(r)(E,1)/r!
Ω	0.95505085274259	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3230b1 103360ck1 129200bx1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 25840q1

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	+	4	3	-4	+	+	9	6	-5	5	3	1	-6	-6	0	2	10	9	11	1	-9	0	8

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Quadratic twists for elliptic curve 25840q1

-4	8	5
3230b1	103360ck1	129200bx1

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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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