Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968i |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-14541046160556032 = -1 · 220 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 1 4 1 -4 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60784,644372] |
[a1,a2,a3,a4,a6] |
j |
7433231/4352 |
j-invariant |
L |
4.3079060391012 |
L(r)(E,1)/r! |
Ω |
0.23932811329825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5746h1 45968j1 |
Quadratic twists by: -4 13 |