Atkin-Lehner |
2+ 3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486f |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3449931264 = -1 · 29 · 38 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 3 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-828,-9392] |
[a1,a2,a3,a4,a6] |
j |
-86175179713/4732416 |
j-invariant |
L |
1.7742454048097 |
L(r)(E,1)/r! |
Ω |
0.44356135120243 |
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 |
6162k1 |
Quadratic twists by: -3 |