Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bz |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
-78025328815104 = -1 · 210 · 36 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27248,1789395] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-519:1] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
9.5980311802885 |
L(r)(E,1)/r! |
Ω |
0.60726147390139 |
Real period |
R |
0.79027170932999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999171523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278a1 1062d1 |
Quadratic twists by: -3 -11 |