Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024bh |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5765113013616 = -1 · 24 · 38 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,-114699] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1089:1] |
Generators of the group modulo torsion |
j |
3114752/203391 |
j-invariant |
L |
6.3375323176716 |
L(r)(E,1)/r! |
Ω |
0.36200658250513 |
Real period |
R |
0.54708365727905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744c1 |
Quadratic twists by: -11 |