Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bf |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-36876115406592 = -1 · 28 · 38 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6225,-222766] |
[a1,a2,a3,a4,a6] |
Generators |
[53:506:1] |
Generators of the group modulo torsion |
j |
142946750000/197595783 |
j-invariant |
L |
7.35205224673 |
L(r)(E,1)/r! |
Ω |
0.34582895739107 |
Real period |
R |
2.6574018933185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504b1 |
Quadratic twists by: -3 |