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	7084a	Isogeny class
Conductor	7084	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9120	Modular degree for the optimal curve
Δ	-610577242352 = -1 · 24 · 72 · 112 · 235	Discriminant
Eigenvalues	2- -1  2 7+ 11+  3 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3662,-92003]	[a1,a2,a3,a4,a6]
j	-339529363149568/38161077647	j-invariant
L	1.2196912863319	L(r)(E,1)/r!
Ω	0.30492282158297	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	28336bs1 113344p1 63756u1 49588d1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7084a1

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	-2	-8	+	-9	3	4	-9	6	7	6	12	0	16	9	-11	-14	0	6	2

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Quadratic twists for elliptic curve 7084a1

-4	8	-3	-7	-11
28336bs1	113344p1	63756u1	49588d1	77924r1

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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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