Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bq |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1019422060800 = 28 · 3 · 52 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3806,-77797] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
4.9179075988728 |
L(r)(E,1)/r! |
Ω |
0.61473845022645 |
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 |
330e1 |
Quadratic twists by: 13 |