Cremona's table of elliptic curves

13530 = 2 · 3 · 5 · 11 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+ 41-	Signs for the Atkin-Lehner involutions
Class	13530n	Isogeny class
Conductor	13530	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	67200	Modular degree for the optimal curve
Δ	-777202732968750 = -1 · 2 · 38 · 57 · 11 · 413	Discriminant
Eigenvalues	2- 3+ 5+ -2 11+ -1 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-19201,1679549]	[a1,a2,a3,a4,a6]
Generators	[718:6279:8]	Generators of the group modulo torsion
j	-782882650278722449/777202732968750	j-invariant
L	4.9935938923988	L(r)(E,1)/r!
Ω	0.45934573042182	Real period
R	1.8118501895486	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	108240bw1 40590u1 67650ba1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13530n1

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	+	-1	-4	-2	2	0	9	11	-	0	-1	6	2	13	-6	-4	-11	-11	4	-2	-3

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Quadratic twists for elliptic curve 13530n1

-4	-3	5
108240bw1	40590u1	67650ba1

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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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