Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bn |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
391394125781568 = 26 · 32 · 72 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20537,605639] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1024:1] |
Generators of the group modulo torsion |
j |
198461344537/81087552 |
j-invariant |
L |
12.217690885695 |
L(r)(E,1)/r! |
Ω |
0.48405515685767 |
Real period |
R |
1.0516786123426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999589304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282a1 |
Quadratic twists by: 13 |