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	5510a	Isogeny class
Conductor	5510	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3648	Modular degree for the optimal curve
Δ	-2204000000 = -1 · 28 · 56 · 19 · 29	Discriminant
Eigenvalues	2+  0 5+  0  0  4  8 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-655,-6675]	[a1,a2,a3,a4,a6]
Generators	[3155:175610:1]	Generators of the group modulo torsion
j	-31104306411849/2204000000	j-invariant
L	2.65365617647	L(r)(E,1)/r!
Ω	0.46990427798797	Real period
R	5.6472271072576	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44080i1 49590cc1 27550q1 104690ba1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5510a1

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	0	4	8	+	-8	+	-8	2	-6	6	6	-12	12	-6	-10	12	-4	0	16	6	6

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Quadratic twists for elliptic curve 5510a1

-4	-3	5	-19
44080i1	49590cc1	27550q1	104690ba1

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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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