Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gh |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
51609600 |
Modular degree for the optimal curve |
Δ |
2.3722608515528E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-701595147,-6758080351814] |
[a1,a2,a3,a4,a6] |
Generators |
[230885249376327:-122952548781916160:806954491] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
8.8783191931921 |
L(r)(E,1)/r! |
Ω |
0.029448562464421 |
Real period |
R |
18.842853530226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890ce1 29040dd1 7920bi1 |
Quadratic twists by: -4 -3 -11 |