Cremona's table of elliptic curves

25080 = 2³ · 3 · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+ 19-	Signs for the Atkin-Lehner involutions
Class	25080k	Isogeny class
Conductor	25080	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	150528	Modular degree for the optimal curve
Δ	177399461250000 = 24 · 32 · 57 · 112 · 194	Discriminant
Eigenvalues	2- 3+ 5+  2 11+  4  4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-233051,-43221324]	[a1,a2,a3,a4,a6]
Generators	[560:1254:1]	Generators of the group modulo torsion
j	87490017893914691584/11087466328125	j-invariant
L	4.8236423387936	L(r)(E,1)/r!
Ω	0.21729010971111	Real period
R	2.7748860412967	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	50160q1 75240y1 125400bf1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 25080k1

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	-	0	-2	0	-6	-6	-10	8	10	4	10	0	8	-16	-8	-14	-10	-14

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Quadratic twists for elliptic curve 25080k1

-4	-3	5
50160q1	75240y1	125400bf1

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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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