Cremona's table of elliptic curves

5166 = 2 · 3² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 41-	Signs for the Atkin-Lehner involutions
Class	5166bl	Isogeny class
Conductor	5166	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-1007805431808 = -1 · 215 · 37 · 73 · 41	Discriminant
Eigenvalues	2- 3- -4 7-  1 -4  2  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4667,133035]	[a1,a2,a3,a4,a6]
Generators	[47:102:1]	Generators of the group modulo torsion
j	-15417797707369/1382449152	j-invariant
L	4.6198719802298	L(r)(E,1)/r!
Ω	0.85817823881309	Real period
R	0.029907488077557	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	41328bs1 1722e1 129150s1 36162cv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5166bl1

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
-	-	-4	-	1	-4	2	7	-7	2	-5	2	-	7	-13	-4	-3	-9	-2	12	-8	-5	-4	-6	13

---

Quadratic twists for elliptic curve 5166bl1

-4	-3	5	-7
41328bs1	1722e1	129150s1	36162cv1

---

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