Cremona's table of elliptic curves

234 = 2 · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Class	234b	Isogeny class
Conductor	234	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-4094064 = -1 · 24 · 39 · 13	Discriminant
Eigenvalues	2- 3+  2 -2  4 13+  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-29,-107]	[a1,a2,a3,a4,a6]
j	-132651/208	j-invariant
L	1.95536655685	L(r)(E,1)/r!
Ω	0.97768327842502	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	1872j1 7488h1 234c1 5850c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 234b1

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	+	0	-6	-4	8	-2	6	-6	-8	-8	-12	-4	10	-2	16	14	-4	12	6	-10

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Quadratic twists for elliptic curve 234b1

-4	8	-3	5	-7	-11	13	17	-19	-23
1872j1	7488h1	234c1	5850c1	11466bo1	28314f1	3042a1	67626q1	84474i1	123786x1

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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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