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	25080f	Isogeny class
Conductor	25080	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	9653592960000 = 210 · 38 · 54 · 112 · 19	Discriminant
Eigenvalues	2+ 3+ 5- -4 11+  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-49720,-4248068]	[a1,a2,a3,a4,a6]
Generators	[-126:20:1]	Generators of the group modulo torsion
j	13274734695441124/9427336875	j-invariant
L	3.9733362611182	L(r)(E,1)/r!
Ω	0.31973086345974	Real period
R	1.5533909590881	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	50160w4 75240bh4 125400cu4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 25080f4

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

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Quadratic twists for elliptic curve 25080f4

-4	-3	5
50160w4	75240bh4	125400cu4

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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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