Atkin-Lehner |
2+ 3- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87768f |
Isogeny class |
Conductor |
87768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-3980246501376 = -1 · 211 · 313 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 3 -2 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3459,-123874] |
[a1,a2,a3,a4,a6] |
j |
-3065617154/2665953 |
j-invariant |
L |
0.60064883292002 |
L(r)(E,1)/r! |
Ω |
0.30032443672131 |
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 |
29256e1 |
Quadratic twists by: -3 |