Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bf |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-8.3446503477148E+23 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22077458,-59371377682] |
[a1,a2,a3,a4,a6] |
Generators |
[18803:2484553:1] [6167:197437:1] |
Generators of the group modulo torsion |
j |
-343941660422144/241169283927 |
j-invariant |
L |
4.9483161461145 |
L(r)(E,1)/r! |
Ω |
0.033778052612446 |
Real period |
R |
1.8311876237904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999881622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975cm2 10725e2 |
Quadratic twists by: 5 -11 |