Cremona's table of elliptic curves

2795 = 5 · 13 · 43

Field	Data	Notes
Atkin-Lehner	5+ 13- 43-	Signs for the Atkin-Lehner involutions
Class	2795b	Isogeny class
Conductor	2795	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	4760	Modular degree for the optimal curve
Δ	-8431831971875 = -1 · 55 · 137 · 43	Discriminant
Eigenvalues	1 -1 5+  2  2 13-  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-13758,-642413]	[a1,a2,a3,a4,a6]
Generators	[262:3587:1]	Generators of the group modulo torsion
j	-288030812484797929/8431831971875	j-invariant
L	3.2903513181718	L(r)(E,1)/r!
Ω	0.22002780328222	Real period
R	2.1363217797859	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	44720j1 25155n1 13975a1 36335e1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2795b1

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	+	2	2	-	0	5	-2	4	-10	0	-2	-	-9	-8	4	-8	5	-9	-4	-15	4	15	-13

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Quadratic twists for elliptic curve 2795b1

-4	-3	5	13	-43
44720j1	25155n1	13975a1	36335e1	120185f1

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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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