Atkin-Lehner |
2- 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bt |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-16329060540 = -1 · 22 · 37 · 5 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,-6109] |
[a1,a2,a3,a4,a6] |
j |
1095912791/22399260 |
j-invariant |
L |
4.8097761598138 |
L(r)(E,1)/r! |
Ω |
0.60122201987853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330j1 |
Quadratic twists by: -3 |