Atkin-Lehner |
3- 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115785m |
Isogeny class |
Conductor |
115785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
29308078125 = 36 · 56 · 31 · 83 |
Discriminant |
Eigenvalues |
0 3- 5- -5 0 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6552,-203965] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:12:1] [-366:41:8] |
Generators of the group modulo torsion |
j |
42669529104384/40203125 |
j-invariant |
L |
8.1719492956042 |
L(r)(E,1)/r! |
Ω |
0.5306774683392 |
Real period |
R |
1.2832573750519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999943251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12865a1 |
Quadratic twists by: -3 |