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	7084j	Isogeny class
Conductor	7084	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	44340142423808 = 28 · 76 · 112 · 233	Discriminant
Eigenvalues	2- -2  0 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-66148,-6562476]	[a1,a2,a3,a4,a6]
j	125037552879538000/173203681343	j-invariant
L	0.89315577358851	L(r)(E,1)/r!
Ω	0.29771859119617	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	28336r4 113344bb4 63756y4 49588p4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7084j4

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	0	-	-	2	-6	-4	+	6	-10	2	-6	8	6	6	6	2	-4	0	2	8	-12	0	8

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Quadratic twists for elliptic curve 7084j4

-4	8	-3	-7	-11
28336r4	113344bb4	63756y4	49588p4	77924f4

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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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