Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160dc |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288960 |
Modular degree for the optimal curve |
Δ |
-133057141288960 = -1 · 212 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,791085] |
[a1,a2,a3,a4,a6] |
Generators |
[771138669660:9633949753413:3833037125] |
Generators of the group modulo torsion |
j |
-200704/115 |
j-invariant |
L |
10.92685902532 |
L(r)(E,1)/r! |
Ω |
0.54194295223318 |
Real period |
R |
20.162378678963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635h1 90160bo1 |
Quadratic twists by: -4 -7 |