Cremona's table of elliptic curves

3504 = 2⁴ · 3 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 73+	Signs for the Atkin-Lehner involutions
Class	3504u	Isogeny class
Conductor	3504	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-897024 = -1 · 212 · 3 · 73	Discriminant
Eigenvalues	2- 3- -1 -2  4 -2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-101,-429]	[a1,a2,a3,a4,a6]
Generators	[150:1839:1]	Generators of the group modulo torsion
j	-28094464/219	j-invariant
L	3.7983244138972	L(r)(E,1)/r!
Ω	0.75201992719498	Real period
R	5.0508294747785	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	219a1 14016bf1 10512o1 87600bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3504u1

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	-2	4	-2	-3	1	0	-10	6	1	2	-6	-7	3	-1	-5	13	-10	+	1	11	-2	-11

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Quadratic twists for elliptic curve 3504u1

-4	8	-3	5
219a1	14016bf1	10512o1	87600bn1

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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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