Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160k |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-1500169192790400000 = -1 · 210 · 37 · 55 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33719,-58891919] |
[a1,a2,a3,a4,a6] |
j |
19314944/6834375 |
j-invariant |
L |
0.12592696957668 |
L(r)(E,1)/r! |
Ω |
0.12592747674622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160hn1 7260t1 116160n1 |
Quadratic twists by: -4 8 -11 |