Cremona's table of elliptic curves

7008 = 2⁵ · 3 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 73+	Signs for the Atkin-Lehner involutions
Class	7008d	Isogeny class
Conductor	7008	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-8185344 = -1 · 29 · 3 · 732	Discriminant
Eigenvalues	2+ 3-  2  0  4  4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,8,140]	[a1,a2,a3,a4,a6]
j	97336/15987	j-invariant
L	3.5934268817075	L(r)(E,1)/r!
Ω	1.7967134408538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7008a2 14016bg2 21024i2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 7008d2

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	4	4	-4	0	0	-2	-4	2	6	10	-2	14	4	-2	16	0	+	16	0	-6	-10

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Quadratic twists for elliptic curve 7008d2

-4	8	-3
7008a2	14016bg2	21024i2

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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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