Cremona's table of elliptic curves

7995 = 3 · 5 · 13 · 41

Field	Data	Notes
Atkin-Lehner	3+ 5- 13+ 41+	Signs for the Atkin-Lehner involutions
Class	7995c	Isogeny class
Conductor	7995	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	5396625 = 34 · 53 · 13 · 41	Discriminant
Eigenvalues	-1 3+ 5- -2 -4 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1385,19262]	[a1,a2,a3,a4,a6]
Generators	[-28:206:1] [12:61:1]	Generators of the group modulo torsion
j	293827628762641/5396625	j-invariant
L	3.2877170909834	L(r)(E,1)/r!
Ω	2.2186369554704	Real period
R	0.98790899006037	Regulator
r	2	Rank of the group of rational points
S	0.99999999999979	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	127920cb1 23985f1 39975t1 103935a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7995c1

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

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Quadratic twists for elliptic curve 7995c1

-4	-3	5	13
127920cb1	23985f1	39975t1	103935a1

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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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