Cremona's table of elliptic curves

5187 = 3 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	3+ 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	5187c	Isogeny class
Conductor	5187	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-36609384357 = -1 · 32 · 74 · 13 · 194	Discriminant
Eigenvalues	1 3+  2 7- -4 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,256,9177]	[a1,a2,a3,a4,a6]
j	1844124275447/36609384357	j-invariant
L	1.7283005935547	L(r)(E,1)/r!
Ω	0.86415029677734	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	82992ci3 15561o4 129675v3 36309t3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5187c4

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
1	+	2	-	-4	-	-6	-	-8	6	0	10	10	4	8	6	4	-10	-4	8	-10	4	-4	10	2

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Quadratic twists for elliptic curve 5187c4

-4	-3	5	-7	13	-19
82992ci3	15561o4	129675v3	36309t3	67431b3	98553z3

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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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