Cremona's table of elliptic curves

3364 = 2² · 29²

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	3364b	Isogeny class
Conductor	3364	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-128063081718016 = -1 · 28 · 298	Discriminant
Eigenvalues	2- -2 -2  4  6  2 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3644,549796]	[a1,a2,a3,a4,a6]
j	-35152/841	j-invariant
L	1.4741822912077	L(r)(E,1)/r!
Ω	0.49139409706924	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	13456g2 53824f2 30276j2 84100d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3364b2

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	-2	4	6	2	-2	6	4	+	6	-2	-2	-10	2	10	0	-10	-12	8	-10	6	16	-2	-10

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Quadratic twists for elliptic curve 3364b2

-4	8	-3	5	29
13456g2	53824f2	30276j2	84100d2	116c1

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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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