Atkin-Lehner |
2- 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354w |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
20224512 |
Modular degree for the optimal curve |
Δ |
1.193609412334E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1552942409,23548898034969] |
[a1,a2,a3,a4,a6] |
j |
414180609320646251159036261381137/119360941233396540720021504 |
j-invariant |
L |
4.842020764257 |
L(r)(E,1)/r! |
Ω |
0.057643104336393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55062o1 128478bz1 |
Quadratic twists by: -3 -7 |