Cremona's table of elliptic curves

3280 = 2⁴ · 5 · 41

Field	Data	Notes
Atkin-Lehner	2+ 5- 41-	Signs for the Atkin-Lehner involutions
Class	3280g	Isogeny class
Conductor	3280	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	689210000000000 = 210 · 510 · 413	Discriminant
Eigenvalues	2+  0 5- -2  2 -2 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-31307,1717706]	[a1,a2,a3,a4,a6]
Generators	[157:820:1]	Generators of the group modulo torsion
j	3313966509875844/673056640625	j-invariant
L	3.3698128930991	L(r)(E,1)/r!
Ω	0.48239463444515	Real period
R	0.23285312152328	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	1640d1 13120bh1 29520h1 16400h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3280g1

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

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Quadratic twists for elliptic curve 3280g1

-4	8	-3	5
1640d1	13120bh1	29520h1	16400h1

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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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