Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285o |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-9.9798247679032E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-990678,-612419792] |
[a1,a2,a3,a4,a6] |
j |
-30558612127744/28361896875 |
j-invariant |
L |
1.1660513944908 |
L(r)(E,1)/r! |
Ω |
0.072878228694018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095g1 9945g1 |
Quadratic twists by: -3 13 |