Cremona's table of elliptic curves

5795 = 5 · 19 · 61

Field	Data	Notes
Atkin-Lehner	5- 19+ 61-	Signs for the Atkin-Lehner involutions
Class	5795c	Isogeny class
Conductor	5795	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	416	Modular degree for the optimal curve
Δ	-724375 = -1 · 54 · 19 · 61	Discriminant
Eigenvalues	1  0 5-  0  0  2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,16,-37]	[a1,a2,a3,a4,a6]
Generators	[82:699:1]	Generators of the group modulo torsion
j	437245479/724375	j-invariant
L	4.8382826247585	L(r)(E,1)/r!
Ω	1.5017796854969	Real period
R	3.2216993421093	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	92720bd1 52155c1 28975c1 110105g1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5795c1

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

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Quadratic twists for elliptic curve 5795c1

-4	-3	5	-19
92720bd1	52155c1	28975c1	110105g1

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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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