Atkin-Lehner |
2- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45320d |
Isogeny class |
Conductor |
45320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-120641840 = -1 · 24 · 5 · 114 · 103 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 11+ 4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25798,1594877] |
[a1,a2,a3,a4,a6] |
j |
-118675711661819904/7540115 |
j-invariant |
L |
5.6308063084033 |
L(r)(E,1)/r! |
Ω |
1.4077015771004 |
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 |
90640b1 |
Quadratic twists by: -4 |