Atkin-Lehner |
2- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640j |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6386688 |
Modular degree for the optimal curve |
Δ |
-1.2058827806936E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11+ 3 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31984643,-69626229758] |
[a1,a2,a3,a4,a6] |
Generators |
[1048622878125339:22415850080829440:155634054939] |
Generators of the group modulo torsion |
j |
-883462840184880403984089/29440497575526400 |
j-invariant |
L |
4.6931521892049 |
L(r)(E,1)/r! |
Ω |
0.031741928845689 |
Real period |
R |
18.481675341865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330b1 |
Quadratic twists by: -4 |