Atkin-Lehner |
2+ 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bg |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
3.1069916865405E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-935044,-221870974] |
[a1,a2,a3,a4,a6] |
j |
768477130627648681/264089935872000 |
j-invariant |
L |
1.8939016494007 |
L(r)(E,1)/r! |
Ω |
0.15782514076962 |
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 |
12390f1 |
Quadratic twists by: -7 |