Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872u |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-48936428262273024 = -1 · 212 · 36 · 117 · 292 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45432,-9969264] |
[a1,a2,a3,a4,a6] |
Generators |
[253010:44995733:8] |
Generators of the group modulo torsion |
j |
3473136105984/16388710811 |
j-invariant |
L |
7.2491736141158 |
L(r)(E,1)/r! |
Ω |
0.17999712235851 |
Real period |
R |
10.068457650812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91872i1 10208a1 |
Quadratic twists by: -4 -3 |