Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920h |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1217388826080000 = -1 · 28 · 39 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19548,1308204] |
[a1,a2,a3,a4,a6] |
j |
163945479168/241600625 |
j-invariant |
L |
2.6364931482234 |
L(r)(E,1)/r! |
Ω |
0.3295616237804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57960bj1 115920a1 |
Quadratic twists by: -4 -3 |