Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232p |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-2539571708322410688 = -1 · 26 · 39 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1753941,897349624] |
[a1,a2,a3,a4,a6] |
j |
-6344128/27 |
j-invariant |
L |
1.0328748793974 |
L(r)(E,1)/r! |
Ω |
0.25821871799371 |
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 |
83232o1 27744y1 83232v1 |
Quadratic twists by: -4 -3 17 |