Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160s |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
76808662670868480 = 215 · 37 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445441,113797345] |
[a1,a2,a3,a4,a6] |
j |
1391566088/10935 |
j-invariant |
L |
2.0741813474672 |
L(r)(E,1)/r! |
Ω |
0.3456967745179 |
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 |
116160df1 58080z1 116160t1 |
Quadratic twists by: -4 8 -11 |