Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480cw |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
168074720460800 = 214 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165308,-25862032] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:80:1] [986:27744:1] |
Generators of the group modulo torsion |
j |
1263257424/425 |
j-invariant |
L |
10.444859543812 |
L(r)(E,1)/r! |
Ω |
0.2367744602599 |
Real period |
R |
5.5141396651789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92480a1 23120i1 5440v1 |
Quadratic twists by: -4 8 17 |