Atkin-Lehner |
2- 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100a |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2681280 |
Modular degree for the optimal curve |
Δ |
-635800931718750000 = -1 · 24 · 34 · 510 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2958333,1959840162] |
[a1,a2,a3,a4,a6] |
j |
-18325043200000000/4069125963 |
j-invariant |
L |
0.56137798393513 |
L(r)(E,1)/r! |
Ω |
0.28068908214625 |
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 |
128100ba1 |
Quadratic twists by: 5 |