Atkin-Lehner |
3- 5- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bj |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
811297265625 = 36 · 58 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2409,-13312] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/1112890625 |
j-invariant |
L |
2.8895048956003 |
L(r)(E,1)/r! |
Ω |
0.72237646763101 |
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 |
14245b1 |
Quadratic twists by: -3 |