Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918v |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
9.6729464681545E+22 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12931268,9823385936] |
[a1,a2,a3,a4,a6] |
j |
5083062654573191457/2056066601910272 |
j-invariant |
L |
1.1616206182019 |
L(r)(E,1)/r! |
Ω |
0.096801722577775 |
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 |
4522j1 |
Quadratic twists by: -19 |