Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32364p |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
925748930347776 = 28 · 314 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 4 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77583,8187766] |
[a1,a2,a3,a4,a6] |
Generators |
[131:522:1] |
Generators of the group modulo torsion |
j |
276729797638096/4960503099 |
j-invariant |
L |
6.0101126624964 |
L(r)(E,1)/r! |
Ω |
0.49751483369134 |
Real period |
R |
0.67112601535738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bt1 10788e1 |
Quadratic twists by: -4 -3 |