Atkin-Lehner |
3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925b |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
607680 |
Modular degree for the optimal curve |
Δ |
-1331870185546875 = -1 · 39 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 1 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16875,-1539844] |
[a1,a2,a3,a4,a6] |
j |
2764800/6929 |
j-invariant |
L |
0.99542435928576 |
L(r)(E,1)/r! |
Ω |
0.24885577787834 |
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 |
119925a1 119925l1 |
Quadratic twists by: -3 5 |