Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160x |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120637440 |
Modular degree for the optimal curve |
Δ |
1.6918934292571E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1098680161,-12542044100639] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
2.5891725530176 |
L(r)(E,1)/r! |
Ω |
0.026420124277799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ia1 3630l1 116160z1 |
Quadratic twists by: -4 8 -11 |