Atkin-Lehner |
2- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127300l |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497280 |
Modular degree for the optimal curve |
Δ |
-755843750000 = -1 · 24 · 59 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3 5- 5 -2 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,875,40625] |
[a1,a2,a3,a4,a6] |
j |
2370816/24187 |
j-invariant |
L |
10.573691554444 |
L(r)(E,1)/r! |
Ω |
0.66085553795422 |
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 |
127300i1 |
Quadratic twists by: 5 |