Cremona's table of elliptic curves

3304 = 2³ · 7 · 59

Field	Data	Notes
Atkin-Lehner	2+ 7- 59+	Signs for the Atkin-Lehner involutions
Class	3304a	Isogeny class
Conductor	3304	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	20400	Modular degree for the optimal curve
Δ	-7069296338944 = -1 · 211 · 75 · 593	Discriminant
Eigenvalues	2+  2 -1 7-  6  6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-244776,46694252]	[a1,a2,a3,a4,a6]
j	-791957789108586578/3451804853	j-invariant
L	3.2881629157241	L(r)(E,1)/r!
Ω	0.65763258314483	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6608b1 26432c1 29736u1 82600k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3304a1

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
+	2	-1	-	6	6	4	-2	-1	2	-2	-3	-2	8	8	-10	+	-14	12	-12	10	10	-9	1	1

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Quadratic twists for elliptic curve 3304a1

-4	8	-3	5	-7
6608b1	26432c1	29736u1	82600k1	23128m1

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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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