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	7084f	Isogeny class
Conductor	7084	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	316248312599296 = 28 · 79 · 113 · 23	Discriminant
Eigenvalues	2-  1  3 7- 11+  5  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20284,-716972]	[a1,a2,a3,a4,a6]
j	3605503844327632/1235344971091	j-invariant
L	3.7007182232287	L(r)(E,1)/r!
Ω	0.41119091369208	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	28336x2 113344bz2 63756bd2 49588h2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7084f2

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	3	-	+	5	0	5	-	0	-4	8	3	8	3	-12	12	-4	-13	6	-1	-4	3	-15	5

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Quadratic twists for elliptic curve 7084f2

-4	8	-3	-7	-11
28336x2	113344bz2	63756bd2	49588h2	77924i2

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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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