Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600er |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-57853440000000000 = -1 · 218 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237675,-46075750] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/1240000 |
j-invariant |
L |
3.4516959044771 |
L(r)(E,1)/r! |
Ω |
0.10786549574516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950ce1 12400x1 22320ca1 |
Quadratic twists by: -4 -3 5 |