Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800v |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
474351505988000000 = 28 · 56 · 179 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204708,-13078588] |
[a1,a2,a3,a4,a6] |
j |
2000 |
j-invariant |
L |
3.7827143684114 |
L(r)(E,1)/r! |
Ω |
0.23641964804981 |
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 |
115600j1 2312b1 57800w1 |
Quadratic twists by: -4 5 17 |