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	3504i	Isogeny class
Conductor	3504	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-16370688 = -1 · 210 · 3 · 732	Discriminant
Eigenvalues	2+ 3- -4  4  6 -2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,40,-156]	[a1,a2,a3,a4,a6]
j	6740636/15987	j-invariant
L	2.2762437486361	L(r)(E,1)/r!
Ω	1.138121874318	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1752e2 14016bi2 10512f2 87600j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3504i2

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

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Quadratic twists for elliptic curve 3504i2

-4	8	-3	5
1752e2	14016bi2	10512f2	87600j2

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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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