Cremona's table of elliptic curves

3432 = 2³ · 3 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 13+	Signs for the Atkin-Lehner involutions
Class	3432c	Isogeny class
Conductor	3432	Conductor
∏ cp	168	Product of Tamagawa factors cp
Δ	670488842529792 = 210 · 37 · 116 · 132	Discriminant
Eigenvalues	2+ 3-  0  0 11- 13+ -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-40888,-2941984]	[a1,a2,a3,a4,a6]
Generators	[-100:396:1]	Generators of the group modulo torsion
j	7382814913718500/654774260283	j-invariant
L	4.0917670960429	L(r)(E,1)/r!
Ω	0.33763903742259	Real period
R	0.2885419495327	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	6864a2 27456f2 10296i2 85800bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3432c2

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

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Quadratic twists for elliptic curve 3432c2

-4	8	-3	5	-11	13
6864a2	27456f2	10296i2	85800bz2	37752w2	44616q2

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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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