Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362h |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8864640 |
Modular degree for the optimal curve |
Δ |
-2.0503732867829E+22 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22736871,42292564202] |
[a1,a2,a3,a4,a6] |
j |
-43204686625/681472 |
j-invariant |
L |
0.48673380072535 |
L(r)(E,1)/r! |
Ω |
0.12168344814604 |
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 |
7942r1 87362bo1 |
Quadratic twists by: -11 -19 |