Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747x |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13440000 |
Modular degree for the optimal curve |
Δ |
-4.4920850422637E+21 |
Discriminant |
Eigenvalues |
2 3- 4 7- 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-57573003,168173007061] |
[a1,a2,a3,a4,a6] |
j |
-28950284246034434347012096/6161982225327448443 |
j-invariant |
L |
8.0404891816605 |
L(r)(E,1)/r! |
Ω |
0.13400815305137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249h1 |
Quadratic twists by: -3 |