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	5434g	Isogeny class
Conductor	5434	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-69288287354 = -1 · 2 · 112 · 133 · 194	Discriminant
Eigenvalues	2+ -1 -1 -3 11- 13+  7 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1393,23111]	[a1,a2,a3,a4,a6]
Generators	[31:89:1]	Generators of the group modulo torsion
j	-299270638153369/69288287354	j-invariant
L	1.8270410690358	L(r)(E,1)/r!
Ω	1.0469762792386	Real period
R	0.21813305435685	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	43472i1 48906bh1 59774r1 70642h1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 5434g1

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	-1	-3	-	+	7	-	-4	8	-8	3	-12	-1	3	10	6	12	0	1	12	14	-8	-4	-4

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Quadratic twists for elliptic curve 5434g1

-4	-3	-11	13	-19
43472i1	48906bh1	59774r1	70642h1	103246t1

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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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