Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bt |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-3281651477353857024 = -1 · 220 · 36 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -3 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,332709,-46262518] |
[a1,a2,a3,a4,a6] |
Generators |
[28795:815902:125] |
Generators of the group modulo torsion |
j |
1364048721284327/1099018439936 |
j-invariant |
L |
10.793976095537 |
L(r)(E,1)/r! |
Ω |
0.13955898171598 |
Real period |
R |
6.4452892618055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12006p1 10672d1 |
Quadratic twists by: -4 -3 |