Cremona's table of elliptic curves

7920 = 2⁴ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+	Signs for the Atkin-Lehner involutions
Class	7920p	Isogeny class
Conductor	7920	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	19245600000000 = 211 · 37 · 58 · 11	Discriminant
Eigenvalues	2+ 3- 5- -4 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14547,-641486]	[a1,a2,a3,a4,a6]
Generators	[-67:180:1]	Generators of the group modulo torsion
j	228027144098/12890625	j-invariant
L	4.01346931732	L(r)(E,1)/r!
Ω	0.43624956438278	Real period
R	0.28749808918136	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3960l3 31680dc4 2640j3 39600s4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7920p3

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

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Quadratic twists for elliptic curve 7920p3

-4	8	-3	5	-11
3960l3	31680dc4	2640j3	39600s4	87120cm4

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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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