Cremona's table of elliptic curves

7007 = 7² · 11 · 13

Field	Data	Notes
Atkin-Lehner	7- 11- 13-	Signs for the Atkin-Lehner involutions
Class	7007c	Isogeny class
Conductor	7007	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7389682576809533 = 77 · 11 · 138	Discriminant
Eigenvalues	-1  0  2 7- 11- 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-49279,-776870]	[a1,a2,a3,a4,a6]
j	112489728522417/62811265517	j-invariant
L	1.3761296790183	L(r)(E,1)/r!
Ω	0.34403241975458	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	112112bf3 63063o3 1001b4 77077l3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7007c3

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	0	2	-	-	-	2	4	0	6	4	6	-6	12	-4	-10	0	-10	12	0	-14	0	4	14	14

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Quadratic twists for elliptic curve 7007c3

-4	-3	-7	-11	13
112112bf3	63063o3	1001b4	77077l3	91091b3

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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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