Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825o |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-195183675 = -1 · 35 · 52 · 192 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228,1467] |
[a1,a2,a3,a4,a6] |
Generators |
[3:27:1] |
Generators of the group modulo torsion |
j |
-52445386345/7807347 |
j-invariant |
L |
5.1185290042683 |
L(r)(E,1)/r! |
Ω |
1.7287839403315 |
Real period |
R |
0.29607685606068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997375277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825h1 |
Quadratic twists by: 5 |