Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812n |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
104024030657491152 = 24 · 36 · 139 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167873,21393516] |
[a1,a2,a3,a4,a6] |
Generators |
[940:26364:1] |
Generators of the group modulo torsion |
j |
6774679552000/1346956533 |
j-invariant |
L |
5.8145547907868 |
L(r)(E,1)/r! |
Ω |
0.31786991747073 |
Real period |
R |
1.5243538502491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524e1 |
Quadratic twists by: 13 |