Atkin-Lehner |
3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675o |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138880 |
Modular degree for the optimal curve |
Δ |
-21451740521484375 = -1 · 313 · 59 · 832 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20133,6955416] |
[a1,a2,a3,a4,a6] |
Generators |
[48648:10705584:1] |
Generators of the group modulo torsion |
j |
633839779/15066243 |
j-invariant |
L |
6.3826929539408 |
L(r)(E,1)/r! |
Ω |
0.28677020739654 |
Real period |
R |
5.5642922358345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225j1 18675r1 |
Quadratic twists by: -3 5 |