Cremona's table of elliptic curves

7755 = 3 · 5 · 11 · 47

Field	Data	Notes
Atkin-Lehner	3- 5+ 11- 47+	Signs for the Atkin-Lehner involutions
Class	7755f	Isogeny class
Conductor	7755	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5467275 = -1 · 32 · 52 · 11 · 472	Discriminant
Eigenvalues	-1 3- 5+  2 11-  6 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,44,11]	[a1,a2,a3,a4,a6]
Generators	[1:7:1]	Generators of the group modulo torsion
j	9407293631/5467275	j-invariant
L	3.4134721320117	L(r)(E,1)/r!
Ω	1.4519087866894	Real period
R	1.1755119065692	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	124080be2 23265s2 38775e2 85305s2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7755f2

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	-	6	-2	-2	0	2	-4	-10	-10	-8	+	-10	-4	-10	12	-8	14	0	-16	18	6

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Quadratic twists for elliptic curve 7755f2

-4	-3	5	-11
124080be2	23265s2	38775e2	85305s2

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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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