Atkin-Lehner |
3- 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
54315j |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-8342047977435 = -1 · 314 · 5 · 173 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45057,-3683840] |
[a1,a2,a3,a4,a6] |
j |
-13876597767614464/11443138515 |
j-invariant |
L |
1.9660237490564 |
L(r)(E,1)/r! |
Ω |
0.16383531260587 |
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 |
18105b1 |
Quadratic twists by: -3 |