Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837s |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69061079308652613 = 318 · 72 · 13 · 234 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102884,-1188390] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:3390:1] |
Generators of the group modulo torsion |
j |
165209778377103097/94733990821197 |
j-invariant |
L |
3.7247769585934 |
L(r)(E,1)/r! |
Ω |
0.28929244185717 |
Real period |
R |
1.6094340966365 |
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 |
6279e3 |
Quadratic twists by: -3 |