Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312co |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0285232317246E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5943809,-7412632449] |
[a1,a2,a3,a4,a6] |
Generators |
[167033089211762408459109769817639427761995178100420282459867:-3109166069408399207440109936342511731782649639541851073715220:54424115119698496606344928358244796747805722047874365951] |
Generators of the group modulo torsion |
j |
-354354857362904007172/156940190387666751 |
j-invariant |
L |
8.1019981683434 |
L(r)(E,1)/r! |
Ω |
0.047329098280707 |
Real period |
R |
85.592145351096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312g3 29328c3 |
Quadratic twists by: -4 8 |