Cremona's table of elliptic curves

7084 = 2² · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 23+	Signs for the Atkin-Lehner involutions
Class	7084c	Isogeny class
Conductor	7084	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	50400	Modular degree for the optimal curve
Δ	224763601046930176 = 28 · 7 · 117 · 235	Discriminant
Eigenvalues	2- -1 -1 7+ 11-  1  4  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-209756,-29032376]	[a1,a2,a3,a4,a6]
Generators	[-295:2662:1]	Generators of the group modulo torsion
j	3986841725626753744/877982816589571	j-invariant
L	2.998015359613	L(r)(E,1)/r!
Ω	0.22658678384977	Real period
R	1.8901716209543	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	28336bl1 113344a1 63756o1 49588m1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7084c1

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	-1	+	-	1	4	3	+	-8	4	-4	-9	8	-3	0	-4	8	1	6	11	16	-11	13	1

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Quadratic twists for elliptic curve 7084c1

-4	8	-3	-7	-11
28336bl1	113344a1	63756o1	49588m1	77924q1

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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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