Cremona's table of elliptic curves

5092 = 2² · 19 · 67

Field	Data	Notes
Atkin-Lehner	2- 19- 67-	Signs for the Atkin-Lehner involutions
Class	5092a	Isogeny class
Conductor	5092	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	21834496 = 28 · 19 · 672	Discriminant
Eigenvalues	2-  0  2  2  6  0  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-79,150]	[a1,a2,a3,a4,a6]
j	212992848/85291	j-invariant
L	2.9257454374369	L(r)(E,1)/r!
Ω	1.9504969582913	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	20368b2 81472a2 45828f2 127300c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5092a2

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	2	6	0	2	-	4	6	4	-2	0	6	-12	-4	4	-6	-	0	2	4	8	-6	16

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Quadratic twists for elliptic curve 5092a2

-4	8	-3	5	-19
20368b2	81472a2	45828f2	127300c2	96748d2

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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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