Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bb |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
5067940261137481728 = 232 · 37 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500099,82575875] |
[a1,a2,a3,a4,a6] |
j |
18974193623767438057/6951907079749632 |
j-invariant |
L |
3.5510021397733 |
L(r)(E,1)/r! |
Ω |
0.22193763373583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006m1 126126ew1 |
Quadratic twists by: -3 -7 |