Cremona's table of elliptic curves

3234 = 2 · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	3234m	Isogeny class
Conductor	3234	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	512575390060272 = 24 · 38 · 79 · 112	Discriminant
Eigenvalues	2+ 3-  0 7- 11-  4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3541011,-2565008834]	[a1,a2,a3,a4,a6]
j	121681065322255375/12702096	j-invariant
L	1.7609123355026	L(r)(E,1)/r!
Ω	0.11005702096891	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	25872bg2 103488l2 9702bt2 80850ep2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234m2

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

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Quadratic twists for elliptic curve 3234m2

-4	8	-3	5	-7	-11
25872bg2	103488l2	9702bt2	80850ep2	3234g2	35574cz2

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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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