Cremona's table of elliptic curves

101568 = 2⁶ · 3 · 23²

Field	Data	Notes
Atkin-Lehner	2- 3- 23-	Signs for the Atkin-Lehner involutions
Class	101568dd	Isogeny class
Conductor	101568	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	23094849291190272 = 215 · 32 · 238	Discriminant
Eigenvalues	2- 3-  0  0  2  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-186913,-30294145]	[a1,a2,a3,a4,a6]
j	148877000/4761	j-invariant
L	3.6809522751159	L(r)(E,1)/r!
Ω	0.23005951209043	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	101568bw2 50784a2 4416x2	Quadratic twists by: -4 8 -23

Hecke Eigenvalues for elliptic curve 101568dd2

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

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Quadratic twists for elliptic curve 101568dd2

-4	8	-23
101568bw2	50784a2	4416x2

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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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