Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270t |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-2255463947520000 = -1 · 211 · 311 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 -7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92520,-11047104] |
[a1,a2,a3,a4,a6] |
j |
-120144998550165121/3093914880000 |
j-invariant |
L |
1.639952738719 |
L(r)(E,1)/r! |
Ω |
0.13666272822658 |
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 |
6090bb1 91350eg1 127890dd1 |
Quadratic twists by: -3 5 -7 |