Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ei |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
7200812125393920 = 210 · 38 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5290765,4682331443] |
[a1,a2,a3,a4,a6] |
j |
9028656748079104/3969405 |
j-invariant |
L |
5.4614456396467 |
L(r)(E,1)/r! |
Ω |
0.34134035652729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160gt1 14520c1 10560be1 |
Quadratic twists by: -4 8 -11 |