Atkin-Lehner |
3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845c |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4412055166875 = -1 · 39 · 54 · 173 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4092,7888] |
[a1,a2,a3,a4,a6] |
j |
10394486964224/6052201875 |
j-invariant |
L |
1.8728519376968 |
L(r)(E,1)/r! |
Ω |
0.46821298404903 |
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 |
18615e1 |
Quadratic twists by: -3 |