Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368g |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
12369120985088 = 220 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12155,-487254] |
[a1,a2,a3,a4,a6] |
j |
9869198625/614656 |
j-invariant |
L |
1.8258359031581 |
L(r)(E,1)/r! |
Ω |
0.45645897579082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046o1 129472bu1 32368v1 |
Quadratic twists by: -4 8 17 |