Cremona's table of elliptic curves

7952 = 2⁴ · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 7+ 71-	Signs for the Atkin-Lehner involutions
Class	7952d	Isogeny class
Conductor	7952	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2914414870528 = -1 · 214 · 7 · 714	Discriminant
Eigenvalues	2-  0 -2 7+  4 -6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,709,-81814]	[a1,a2,a3,a4,a6]
Generators	[102231:1214486:729]	Generators of the group modulo torsion
j	9622822383/711527068	j-invariant
L	3.3784768910234	L(r)(E,1)/r!
Ω	0.3825755294212	Real period
R	8.8308755558274	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	994f4 31808r3 71568bl3 55664t3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7952d4

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
-	0	-2	+	4	-6	6	0	8	-2	0	6	-10	4	-8	-2	-12	10	12	-	-6	8	16	2	14

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Quadratic twists for elliptic curve 7952d4

-4	8	-3	-7
994f4	31808r3	71568bl3	55664t3

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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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