Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088z |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-761550117732352 = -1 · 216 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 0 2 -4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22021,425258] |
[a1,a2,a3,a4,a6] |
j |
6128487/3952 |
j-invariant |
L |
0.63035081931553 |
L(r)(E,1)/r! |
Ω |
0.31517542101239 |
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 |
9386h1 3952d1 |
Quadratic twists by: -4 -19 |