Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664cm |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-149359785024135168 = -1 · 213 · 322 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-461667,-122160670] |
[a1,a2,a3,a4,a6] |
Generators |
[809:5816:1] |
Generators of the group modulo torsion |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
4.0498378460432 |
L(r)(E,1)/r! |
Ω |
0.091502459499497 |
Real period |
R |
5.5324166533247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458j1 27888ba1 |
Quadratic twists by: -4 -3 |