Atkin-Lehner |
2- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127100a |
Isogeny class |
Conductor |
127100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-397187500000000 = -1 · 28 · 513 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 3 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-278133,56559137] |
[a1,a2,a3,a4,a6] |
j |
-594871062102016/99296875 |
j-invariant |
L |
8.2615159667303 |
L(r)(E,1)/r! |
Ω |
0.5163449471322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25420a1 |
Quadratic twists by: 5 |