Cremona's table of elliptic curves

35112 = 2³ · 3 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+ 19+	Signs for the Atkin-Lehner involutions
Class	35112j	Isogeny class
Conductor	35112	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-2220059218608 = -1 · 24 · 33 · 76 · 112 · 192	Discriminant
Eigenvalues	2+ 3-  0 7- 11+ -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1083,-73350]	[a1,a2,a3,a4,a6]
Generators	[57:231:1]	Generators of the group modulo torsion
j	-8788000000000/138753701163	j-invariant
L	7.2635400695928	L(r)(E,1)/r!
Ω	0.35253673590709	Real period
R	0.57232333933651	Regulator
r	1	Rank of the group of rational points
S	0.99999999999997	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	70224e1 105336bv1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 35112j1

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

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Quadratic twists for elliptic curve 35112j1

-4	-3
70224e1	105336bv1

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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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