Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960df |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-20567520000 = -1 · 28 · 35 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -6 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245,6975] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:90:1] |
Generators of the group modulo torsion |
j |
-12058624/151875 |
j-invariant |
L |
9.4291544997051 |
L(r)(E,1)/r! |
Ω |
1.0301359277935 |
Real period |
R |
0.22883277532242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31740c1 126960cr1 |
Quadratic twists by: -4 -23 |