Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bi |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
1525952494370304 = 29 · 36 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167501,26360821] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1048:1] |
Generators of the group modulo torsion |
j |
712928482228623753/2093213298176 |
j-invariant |
L |
6.604420404094 |
L(r)(E,1)/r! |
Ω |
0.47844682608212 |
Real period |
R |
0.2556273234349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002a2 126126fp2 |
Quadratic twists by: -3 -7 |