Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55176m |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-57766515050382336 = -1 · 210 · 36 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1005792,-388756656] |
[a1,a2,a3,a4,a6] |
j |
-512633799172/263169 |
j-invariant |
L |
1.8090074177021 |
L(r)(E,1)/r! |
Ω |
0.0753753090815 |
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 |
110352j1 55176f1 |
Quadratic twists by: -4 -11 |