Atkin-Lehner |
2- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32450v |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-74234445312500 = -1 · 22 · 59 · 115 · 59 |
Discriminant |
Eigenvalues |
2- 3 5- 4 11- -6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2430,417697] |
[a1,a2,a3,a4,a6] |
j |
-812166237/38008036 |
j-invariant |
L |
10.177573543841 |
L(r)(E,1)/r! |
Ω |
0.50887867719254 |
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 |
32450i1 |
Quadratic twists by: 5 |