Cremona's table of elliptic curves

232 = 2³ · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	232b	Isogeny class
Conductor	232	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	-29696 = -1 · 210 · 29	Discriminant
Eigenvalues	2-  1  1  2  3 -1  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-80,-304]	[a1,a2,a3,a4,a6]
j	-55990084/29	j-invariant
L	1.5946380240139	L(r)(E,1)/r!
Ω	0.79731901200697	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	464b1 1856c1 2088d1 5800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 232b1

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
-	1	1	2	3	-1	0	0	4	+	3	-8	-6	-5	3	5	-8	0	-12	6	-4	1	-12	6	14

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Quadratic twists for elliptic curve 232b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
464b1	1856c1	2088d1	5800a1	11368k1	28072c1	39208a1	67048f1	83752a1	122728h1	6728a1

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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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