Cremona's table of elliptic curves

6380 = 2² · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 29-	Signs for the Atkin-Lehner involutions
Class	6380c	Isogeny class
Conductor	6380	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-213952502500000000 = -1 · 28 · 510 · 112 · 294	Discriminant
Eigenvalues	2- -2 5+  2 11- -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-875396,315742804]	[a1,a2,a3,a4,a6]
j	-289799689905740628304/835751962890625	j-invariant
L	1.2675160162889	L(r)(E,1)/r!
Ω	0.31687900407223	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25520l2 102080m2 57420m2 31900c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6380c2

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

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Quadratic twists for elliptic curve 6380c2

-4	8	-3	5	-11
25520l2	102080m2	57420m2	31900c2	70180h2

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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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