Cremona's table of elliptic curves

4719 = 3 · 11² · 13

Field	Data	Notes
Atkin-Lehner	3- 11- 13-	Signs for the Atkin-Lehner involutions
Class	4719l	Isogeny class
Conductor	4719	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-3104008128122187 = -1 · 3 · 118 · 136	Discriminant
Eigenvalues	0 3-  0 -1 11- 13-  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,31057,1667903]	[a1,a2,a3,a4,a6]
j	15454208000/14480427	j-invariant
L	1.7658699168155	L(r)(E,1)/r!
Ω	0.29431165280258	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	75504bs2 14157p2 117975f2 4719i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4719l2

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	-1	-	-	6	-1	6	0	-7	5	0	-4	-6	0	-6	-1	5	6	11	-1	12	18	-1

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Quadratic twists for elliptic curve 4719l2

-4	-3	5	-11	13
75504bs2	14157p2	117975f2	4719i2	61347v2

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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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