Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659i |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1245312 |
Modular degree for the optimal curve |
Δ |
-1052863662323086137 = -1 · 32 · 173 · 478 |
Discriminant |
Eigenvalues |
1 3- 0 -3 1 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,54074,-49125523] |
[a1,a2,a3,a4,a6] |
Generators |
[283858614435152200397:25931761968903633927628:33667290783198701] |
Generators of the group modulo torsion |
j |
734375/44217 |
j-invariant |
L |
8.9490104472069 |
L(r)(E,1)/r! |
Ω |
0.13204344959522 |
Real period |
R |
33.886612606079 |
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 |
112659j1 |
Quadratic twists by: -47 |