Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400du |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
47403225000000 = 26 · 38 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19425,988000] |
[a1,a2,a3,a4,a6] |
j |
1111934656/65025 |
j-invariant |
L |
2.5067848001254 |
L(r)(E,1)/r! |
Ω |
0.62669621395507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122400dw1 40800w1 24480q1 |
Quadratic twists by: -4 -3 5 |