Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837s |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
114074767775241 = 312 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74219,-7746942] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:189:1] |
Generators of the group modulo torsion |
j |
62020604311474537/156481162929 |
j-invariant |
L |
3.7247769585934 |
L(r)(E,1)/r! |
Ω |
0.28929244185717 |
Real period |
R |
3.2188681932731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6279e2 |
Quadratic twists by: -3 |