Cremona's table of elliptic curves

2755 = 5 · 19 · 29

Field	Data	Notes
Atkin-Lehner	5- 19+ 29+	Signs for the Atkin-Lehner involutions
Class	2755b	Isogeny class
Conductor	2755	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	-2755 = -1 · 5 · 19 · 29	Discriminant
Eigenvalues	0  0 5-  4  0  3  7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-2,-3]	[a1,a2,a3,a4,a6]
j	-884736/2755	j-invariant
L	1.8524933512871	L(r)(E,1)/r!
Ω	1.8524933512871	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44080q1 24795e1 13775a1 52345g1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 2755b1

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
0	0	-	4	0	3	7	+	-6	+	5	-8	5	1	-4	10	-10	2	-3	14	2	-3	6	15	8

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Quadratic twists for elliptic curve 2755b1

-4	-3	5	-19	29
44080q1	24795e1	13775a1	52345g1	79895h1

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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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