Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976i |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
6201414789696 = 26 · 312 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10029,-367540] |
[a1,a2,a3,a4,a6] |
j |
2391052454848/132917841 |
j-invariant |
L |
3.8298120879386 |
L(r)(E,1)/r! |
Ω |
0.47872657184489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122976bj1 40992m1 |
Quadratic twists by: -4 -3 |