Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675cf |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
3.44435727471E+22 |
Discriminant |
Eigenvalues |
0 3- 5- -5 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1771234500,28692090150781] |
[a1,a2,a3,a4,a6] |
Generators |
[21901:636538:1] |
Generators of the group modulo torsion |
j |
431612817284032565608448/24190822011681 |
j-invariant |
L |
3.8123299256159 |
L(r)(E,1)/r! |
Ω |
0.087428170641552 |
Real period |
R |
0.36337734016211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30225t1 90675br1 |
Quadratic twists by: -3 5 |