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	3234h	Isogeny class
Conductor	3234	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	58800	Modular degree for the optimal curve
Δ	-64975032778116384 = -1 · 25 · 37 · 78 · 115	Discriminant
Eigenvalues	2+ 3-  3 7+ 11+  6 -5  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-238607,46487522]	[a1,a2,a3,a4,a6]
j	-260607143968297/11270993184	j-invariant
L	2.4196606101907	L(r)(E,1)/r!
Ω	0.34566580145581	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	25872be1 103488j1 9702bq1 80850dr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3234h1

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
+	-	3	+	+	6	-5	6	5	-6	4	-2	5	-10	9	2	-12	-5	5	4	12	-1	1	6	9

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Quadratic twists for elliptic curve 3234h1

-4	8	-3	5	-7	-11
25872be1	103488j1	9702bq1	80850dr1	3234e1	35574cn1

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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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