Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216v |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
18970003008 = 26 · 39 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-729,3672] |
[a1,a2,a3,a4,a6] |
j |
34012224/15059 |
j-invariant |
L |
2.1978259407251 |
L(r)(E,1)/r! |
Ω |
1.0989127106899 |
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 |
117216w1 117216d1 |
Quadratic twists by: -4 -3 |