Cremona's table of elliptic curves

6358 = 2 · 11 · 17²

Field	Data	Notes
Atkin-Lehner	2- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	6358h	Isogeny class
Conductor	6358	Conductor
∏ cp	63	Product of Tamagawa factors cp
deg	179928	Modular degree for the optimal curve
Δ	-1.9471496703317E+19	Discriminant
Eigenvalues	2- -2  0  2 11+ -1 17- -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,484647,-167913287]	[a1,a2,a3,a4,a6]
Generators	[294:-65:1]	Generators of the group modulo torsion
j	1804716011375/2791309312	j-invariant
L	4.4160797549205	L(r)(E,1)/r!
Ω	0.11458467123359	Real period
R	5.5056974866309	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	50864bt1 57222ba1 69938i1 6358i1	Quadratic twists by: -4 -3 -11 17

Hecke Eigenvalues for elliptic curve 6358h1

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	0	2	+	-1	-	-7	9	9	-7	2	-12	-4	9	-6	0	2	-4	0	2	-10	-9	-6	2

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Quadratic twists for elliptic curve 6358h1

-4	-3	-11	17
50864bt1	57222ba1	69938i1	6358i1

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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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