Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270br |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-731807553960 = -1 · 23 · 37 · 5 · 73 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,607,40601] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:76:1] |
Generators of the group modulo torsion |
j |
33980740919/1003851240 |
j-invariant |
L |
7.1475426731447 |
L(r)(E,1)/r! |
Ω |
0.67856152245849 |
Real period |
R |
0.87778121272979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6090p2 91350bm2 127890gi2 |
Quadratic twists by: -3 5 -7 |