Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700u |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
139259250000 = 24 · 34 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,-24912] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:27:1] [-27:75:1] |
Generators of the group modulo torsion |
j |
2725888000/557037 |
j-invariant |
L |
12.026507015601 |
L(r)(E,1)/r! |
Ω |
0.74007971274581 |
Real period |
R |
1.3541905023829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588c1 |
Quadratic twists by: 5 |