Atkin-Lehner |
2+ 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18690f |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-691413398323200 = -1 · 225 · 33 · 52 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2526,1264372] |
[a1,a2,a3,a4,a6] |
j |
1783490811985511/691413398323200 |
j-invariant |
L |
2.3732179811583 |
L(r)(E,1)/r! |
Ω |
0.39553633019306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56070bb1 93450cb1 |
Quadratic twists by: -3 5 |