Atkin-Lehner |
2- 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568x |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3885609668050944 = 232 · 36 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307024,-65308736] |
[a1,a2,a3,a4,a6] |
j |
781415740503416017/948635172864 |
j-invariant |
L |
1.6226617549461 |
L(r)(E,1)/r! |
Ω |
0.20283271955197 |
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 |
7446i1 |
Quadratic twists by: -4 |