Atkin-Lehner |
2- 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
18910f |
Isogeny class |
Conductor |
18910 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-1512800000 = -1 · 28 · 55 · 31 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- 1 0 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,258,909] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-109:1] |
Generators of the group modulo torsion |
j |
1906162757199/1512800000 |
j-invariant |
L |
5.0955141544453 |
L(r)(E,1)/r! |
Ω |
0.97101681853791 |
Real period |
R |
0.13119016213637 |
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 |
94550c1 |
Quadratic twists by: 5 |