Cremona's table of elliptic curves

25280 = 2⁶ · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 5- 79+	Signs for the Atkin-Lehner involutions
Class	25280x	Isogeny class
Conductor	25280	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	798848000 = 210 · 53 · 792	Discriminant
Eigenvalues	2-  0 5-  0  4  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-272,-1064]	[a1,a2,a3,a4,a6]
Generators	[22:60:1]	Generators of the group modulo torsion
j	2173353984/780125	j-invariant
L	6.0189733625748	L(r)(E,1)/r!
Ω	1.2106326498365	Real period
R	1.6572528871268	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	25280k1 6320e1 126400bh1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 25280x1

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
-	0	-	0	4	2	0	0	2	6	4	-8	-10	-8	-12	12	-4	6	-14	0	6	+	2	-10	-2

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Quadratic twists for elliptic curve 25280x1

-4	8	5
25280k1	6320e1	126400bh1

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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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