Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bk |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
660275000000 = 26 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9575,-358500] |
[a1,a2,a3,a4,a6] |
j |
97082300736/660275 |
j-invariant |
L |
1.9313142096171 |
L(r)(E,1)/r! |
Ω |
0.48282844743737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200o1 61600bp3 24640b1 |
Quadratic twists by: -4 8 5 |