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	7755i	Isogeny class
Conductor	7755	Conductor
∏ cp	100	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-11174133086325 = -1 · 310 · 52 · 115 · 47	Discriminant
Eigenvalues	-1 3- 5-  1 11- -3 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3830,-185223]	[a1,a2,a3,a4,a6]
Generators	[409:-8372:1]	Generators of the group modulo torsion
j	-6213368639092321/11174133086325	j-invariant
L	3.4674706231803	L(r)(E,1)/r!
Ω	0.28623669231771	Real period
R	0.12113997667816	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	124080bk1 23265k1 38775c1 85305bb1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7755i1

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	-	-	1	-	-3	-6	-2	-1	10	3	-3	-3	0	-	-9	-4	10	-3	12	-10	-11	3	-5	-5

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Quadratic twists for elliptic curve 7755i1

-4	-3	5	-11
124080bk1	23265k1	38775c1	85305bb1

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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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