Cremona's table of elliptic curves

6308 = 2² · 19 · 83

Field	Data	Notes
Atkin-Lehner	2- 19+ 83+	Signs for the Atkin-Lehner involutions
Class	6308a	Isogeny class
Conductor	6308	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14472	Modular degree for the optimal curve
Δ	-3302641712 = -1 · 24 · 192 · 833	Discriminant
Eigenvalues	2- -1  2  3  5 -4 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-107577,13616782]	[a1,a2,a3,a4,a6]
j	-8605300751925035008/206415107	j-invariant
L	2.0519212938868	L(r)(E,1)/r!
Ω	1.0259606469434	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25232o1 100928m1 56772f1 119852a1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 6308a1

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	2	3	5	-4	-3	+	-4	-5	1	7	10	4	2	-10	9	5	12	8	0	2	+	6	16

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Quadratic twists for elliptic curve 6308a1

-4	8	-3	-19
25232o1	100928m1	56772f1	119852a1

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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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