Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605g |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3861160141016E+26 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143023978,-335484168638] |
[a1,a2,a3,a4,a6] |
Generators |
[483589510:335945642919:1000] |
Generators of the group modulo torsion |
j |
18577831198352049/7958740140575 |
j-invariant |
L |
4.2988552228603 |
L(r)(E,1)/r! |
Ω |
0.045378060766642 |
Real period |
R |
11.841777573796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515n4 5635k4 |
Quadratic twists by: -7 -23 |