Cremona's table of elliptic curves

5797 = 11 · 17 · 31

Field	Data	Notes
Atkin-Lehner	11- 17- 31+	Signs for the Atkin-Lehner involutions
Class	5797b	Isogeny class
Conductor	5797	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4464	Modular degree for the optimal curve
Δ	-674080957 = -1 · 113 · 17 · 313	Discriminant
Eigenvalues	-1  0  4 -2 11-  7 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-838,-9206]	[a1,a2,a3,a4,a6]
Generators	[34:10:1]	Generators of the group modulo torsion
j	-65008450849329/674080957	j-invariant
L	3.0906239606042	L(r)(E,1)/r!
Ω	0.44343565599191	Real period
R	2.3232412029737	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	92752j1 52173d1 63767a1 98549c1	Quadratic twists by: -4 -3 -11 17

Hecke Eigenvalues for elliptic curve 5797b1

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	4	-2	-	7	-	-1	-8	-6	+	-11	-3	4	-6	-12	0	8	10	-13	6	-9	-4	-8	-10

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Quadratic twists for elliptic curve 5797b1

-4	-3	-11	17
92752j1	52173d1	63767a1	98549c1

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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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