Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816by |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
255737856 = 214 · 3 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20817,-1149135] |
[a1,a2,a3,a4,a6] |
Generators |
[1250998:25135825:2744] |
Generators of the group modulo torsion |
j |
60894639222352/15609 |
j-invariant |
L |
8.2422392878634 |
L(r)(E,1)/r! |
Ω |
0.39745987102651 |
Real period |
R |
10.368643328622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816bf1 22704l1 |
Quadratic twists by: -4 8 |