Cremona's table of elliptic curves

5168 = 2⁴ · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 17- 19+	Signs for the Atkin-Lehner involutions
Class	5168b	Isogeny class
Conductor	5168	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	11245568 = 211 · 172 · 19	Discriminant
Eigenvalues	2+  2  4 -2  4  2 17- 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-816,9248]	[a1,a2,a3,a4,a6]
j	29376249698/5491	j-invariant
L	4.4046124958322	L(r)(E,1)/r!
Ω	2.2023062479161	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	2584b2 20672bh2 46512c2 129200d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5168b2

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

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Quadratic twists for elliptic curve 5168b2

-4	8	-3	5	17	-19
2584b2	20672bh2	46512c2	129200d2	87856c2	98192f2

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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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