Cremona's table of elliptic curves

5016 = 2³ · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 19+	Signs for the Atkin-Lehner involutions
Class	5016a	Isogeny class
Conductor	5016	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7246153728 = -1 · 211 · 34 · 112 · 192	Discriminant
Eigenvalues	2+ 3+ -2 -2 11-  6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-584,-6612]	[a1,a2,a3,a4,a6]
j	-10773969554/3538161	j-invariant
L	0.95509657786431	L(r)(E,1)/r!
Ω	0.47754828893215	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	10032e2 40128u2 15048d2 125400cv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5016a2

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	-2	-	6	-2	+	4	-10	-2	-4	2	0	12	12	12	-12	-4	-2	2	-8	-12	-14	-10

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Quadratic twists for elliptic curve 5016a2

-4	8	-3	5	-11	-19
10032e2	40128u2	15048d2	125400cv2	55176j2	95304w2

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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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