Cremona's table of elliptic curves

5510 = 2 · 5 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 19- 29+	Signs for the Atkin-Lehner involutions
Class	5510h	Isogeny class
Conductor	5510	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	231695500 = 22 · 53 · 19 · 293	Discriminant
Eigenvalues	2-  1 5+ -1 -3  2  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5041,-138179]	[a1,a2,a3,a4,a6]
Generators	[-8886:4703:216]	Generators of the group modulo torsion
j	14167042245656209/231695500	j-invariant
L	6.0057283661301	L(r)(E,1)/r!
Ω	0.56659189507035	Real period
R	5.2998714051358	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	44080d2 49590w2 27550h2 104690f2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5510h2

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	2	3	-	3	+	-10	-4	-9	8	-6	9	-9	-10	-4	9	2	-4	-12	-6	14

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Quadratic twists for elliptic curve 5510h2

-4	-3	5	-19
44080d2	49590w2	27550h2	104690f2

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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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