Cremona's table of elliptic curves

5824 = 2⁶ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13-	Signs for the Atkin-Lehner involutions
Class	5824bd	Isogeny class
Conductor	5824	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	2347095921445044224 = 223 · 73 · 138	Discriminant
Eigenvalues	2-  0 -2 7-  4 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3784556,-2832849840]	[a1,a2,a3,a4,a6]
j	22868021811807457713/8953460393696	j-invariant
L	1.2989345588253	L(r)(E,1)/r!
Ω	0.10824454656878	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5824e4 1456i3 52416gn4 40768cl4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5824bd3

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

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Quadratic twists for elliptic curve 5824bd3

-4	8	-3	-7	13
5824e4	1456i3	52416gn4	40768cl4	75712bt4

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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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