Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75088r |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-3973673320562696192 = -1 · 213 · 134 · 198 |
Discriminant |
Eigenvalues |
2- 3 0 0 -3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3463795,-2483136334] |
[a1,a2,a3,a4,a6] |
j |
-66068051625/57122 |
j-invariant |
L |
3.9837446237088 |
L(r)(E,1)/r! |
Ω |
0.055329786804272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386d1 75088bi1 |
Quadratic twists by: -4 -19 |