Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264bw |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-62229923078602752 = -1 · 223 · 315 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56543,-10810273] |
[a1,a2,a3,a4,a6] |
Generators |
[149:972:1] |
Generators of the group modulo torsion |
j |
76262783193143/237388317408 |
j-invariant |
L |
8.0382946033719 |
L(r)(E,1)/r! |
Ω |
0.17905267493437 |
Real period |
R |
1.4964487609331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264m1 24816n1 |
Quadratic twists by: -4 8 |