Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054f |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-198882864 = -1 · 24 · 36 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -4 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108,832] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
-192100033/272816 |
j-invariant |
L |
4.4313695374483 |
L(r)(E,1)/r! |
Ω |
1.6082739091443 |
Real period |
R |
0.6888393687562 |
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 |
2006j1 |
Quadratic twists by: -3 |