Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488o |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3872441559416832 = 220 · 32 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46625,2475681] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:867:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
4.0113067965616 |
L(r)(E,1)/r! |
Ω |
0.40541097824191 |
Real period |
R |
2.4736051881823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488dz1 1734g1 3264o1 |
Quadratic twists by: -4 8 17 |