Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950cy |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
9984 |
Product of Tamagawa factors cp |
deg |
201277440 |
Modular degree for the optimal curve |
Δ |
5.805297798608E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10337835813,171154477183617] |
[a1,a2,a3,a4,a6] |
Generators |
[10962:7685319:1] |
Generators of the group modulo torsion |
j |
7819744750394740460518414483081/3715390591109106085102878720 |
j-invariant |
L |
13.022943181026 |
L(r)(E,1)/r! |
Ω |
0.017655542516517 |
Real period |
R |
1.1820707991859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995614 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14790e1 |
Quadratic twists by: 5 |