Cremona's table of elliptic curves

5330 = 2 · 5 · 13 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 13+ 41-	Signs for the Atkin-Lehner involutions
Class	5330c	Isogeny class
Conductor	5330	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-191021443600 = -1 · 24 · 52 · 132 · 414	Discriminant
Eigenvalues	2-  2 5+  0 -2 13+ -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2191,43813]	[a1,a2,a3,a4,a6]
Generators	[37:104:1]	Generators of the group modulo torsion
j	-1163223676541809/191021443600	j-invariant
L	7.0279005981042	L(r)(E,1)/r!
Ω	0.97140461340212	Real period
R	0.45217387412147	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	42640h2 47970n2 26650i2 69290h2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5330c2

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	+	0	-2	+	-6	-2	-6	2	-2	-2	-	-6	0	2	6	2	16	-14	-6	-8	16	-6	-10

---

Quadratic twists for elliptic curve 5330c2

-4	-3	5	13
42640h2	47970n2	26650i2	69290h2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations