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	6358g	Isogeny class
Conductor	6358	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-470390272 = -1 · 29 · 11 · 174	Discriminant
Eigenvalues	2+ -2  0  2 11-  5 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-16046,-783648]	[a1,a2,a3,a4,a6]
Generators	[549122:5232247:2744]	Generators of the group modulo torsion
j	-5470027161625/5632	j-invariant
L	2.3094655581612	L(r)(E,1)/r!
Ω	0.21209531600693	Real period
R	10.888809812687	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	50864bl2 57222bn2 69938u2 6358a2	Quadratic twists by: -4 -3 -11 17

Hecke Eigenvalues for elliptic curve 6358g2

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	-	5	-	-1	-3	3	5	-10	0	-4	-3	-6	-12	14	-4	0	2	-10	9	-6	2

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Quadratic twists for elliptic curve 6358g2

-4	-3	-11	17
50864bl2	57222bn2	69938u2	6358a2

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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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