Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362b |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11491200 |
Modular degree for the optimal curve |
Δ |
2.345274632171E+24 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43208699,-80749809783] |
[a1,a2,a3,a4,a6] |
j |
296518892481/77948684 |
j-invariant |
L |
0.4802849441812 |
L(r)(E,1)/r! |
Ω |
0.060035627591576 |
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 |
7942p1 87362bf1 |
Quadratic twists by: -11 -19 |