Atkin-Lehner |
5- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127075j |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2934000 |
Modular degree for the optimal curve |
Δ |
-93902724494921875 = -1 · 58 · 133 · 17 · 235 |
Discriminant |
Eigenvalues |
0 -2 5- 0 0 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11434333,-14885924506] |
[a1,a2,a3,a4,a6] |
Generators |
[81914:7763071:8] |
Generators of the group modulo torsion |
j |
-423249275373507051520/240390974707 |
j-invariant |
L |
3.0087702905979 |
L(r)(E,1)/r! |
Ω |
0.041050346951473 |
Real period |
R |
4.886309161427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127075i1 |
Quadratic twists by: 5 |