Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024be |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-56503872646450416 = -1 · 24 · 312 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41100,-10964043] |
[a1,a2,a3,a4,a6] |
Generators |
[942:29403:1] |
Generators of the group modulo torsion |
j |
270871003904/1993435191 |
j-invariant |
L |
8.7980550659036 |
L(r)(E,1)/r! |
Ω |
0.17550858088365 |
Real period |
R |
1.0443524345218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8184i1 |
Quadratic twists by: -11 |