Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270w |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
-2121056708198400000 = -1 · 221 · 313 · 55 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6545484,6447579088] |
[a1,a2,a3,a4,a6] |
j |
-42542354080718101165249/2909542809600000 |
j-invariant |
L |
2.4783662516302 |
L(r)(E,1)/r! |
Ω |
0.24783662516302 |
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 |
6090q1 91350fa1 127890by1 |
Quadratic twists by: -3 5 -7 |