Cremona's table of elliptic curves

6162 = 2 · 3 · 13 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 79-	Signs for the Atkin-Lehner involutions
Class	6162f	Isogeny class
Conductor	6162	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-84105550854 = -1 · 2 · 38 · 13 · 793	Discriminant
Eigenvalues	2+ 3+ -1 -5  5 13- -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3098,66546]	[a1,a2,a3,a4,a6]
Generators	[221:3089:1]	Generators of the group modulo torsion
j	-3289932395224489/84105550854	j-invariant
L	1.9352952397412	L(r)(E,1)/r!
Ω	1.0771975603106	Real period
R	0.29943365869722	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	49296bf1 18486ba1 80106x1	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 6162f1

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	-5	5	-	-4	4	-3	3	2	-2	-7	1	-4	5	-8	-2	-7	13	14	-	15	2	-2

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Quadratic twists for elliptic curve 6162f1

-4	-3	13
49296bf1	18486ba1	80106x1

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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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