Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200co |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
3854718720000 = 211 · 311 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16275,-793550] |
[a1,a2,a3,a4,a6] |
j |
510915650/4131 |
j-invariant |
L |
3.3831485503249 |
L(r)(E,1)/r! |
Ω |
0.42289356909444 |
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 |
30600bg1 20400bn1 61200bh1 |
Quadratic twists by: -4 -3 5 |