Cremona's table of elliptic curves

5434 = 2 · 11 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 11- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	5434h	Isogeny class
Conductor	5434	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	10560	Modular degree for the optimal curve
Δ	-72158216416 = -1 · 25 · 113 · 13 · 194	Discriminant
Eigenvalues	2+  2 -3  3 11- 13+ -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3369,74981]	[a1,a2,a3,a4,a6]
Generators	[-7:317:1]	Generators of the group modulo torsion
j	-4230855081942553/72158216416	j-invariant
L	3.6301979867357	L(r)(E,1)/r!
Ω	1.0950883155979	Real period
R	0.27624849483439	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43472j1 48906bj1 59774u1 70642i1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 5434h1

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	-3	3	-	+	-2	-	-7	3	6	-6	5	-3	-8	14	-13	7	7	-12	-1	-16	-12	-4	0

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Quadratic twists for elliptic curve 5434h1

-4	-3	-11	13	-19
43472j1	48906bj1	59774u1	70642i1	103246w1

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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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