Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330t |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
11637120 |
Modular degree for the optimal curve |
Δ |
5.3410097977565E+23 |
Discriminant |
Eigenvalues |
2- 1 5- 0 1 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28305975,46080044375] |
[a1,a2,a3,a4,a6] |
Generators |
[762564150:275137307675:5832] |
Generators of the group modulo torsion |
j |
5961809440201/1269531250 |
j-invariant |
L |
13.523291470849 |
L(r)(E,1)/r! |
Ω |
0.08743583490117 |
Real period |
R |
14.060483714712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330i1 |
Quadratic twists by: 29 |