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	7755h	Isogeny class
Conductor	7755	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	16384	Modular degree for the optimal curve
Δ	-6120167558175 = -1 · 316 · 52 · 112 · 47	Discriminant
Eigenvalues	-1 3- 5-  0 11-  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,775,118800]	[a1,a2,a3,a4,a6]
j	51474696591599/6120167558175	j-invariant
L	2.3203957330712	L(r)(E,1)/r!
Ω	0.58009893326781	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	124080bm1 23265n1 38775d1 85305z1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7755h1

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

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Quadratic twists for elliptic curve 7755h1

-4	-3	5	-11
124080bm1	23265n1	38775d1	85305z1

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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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