Atkin-Lehner |
2- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
32944d |
Isogeny class |
Conductor |
32944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
2003568689152 = 225 · 292 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 -1 2 5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4168,76660] |
[a1,a2,a3,a4,a6] |
Generators |
[606:14848:1] |
Generators of the group modulo torsion |
j |
1955469687625/489152512 |
j-invariant |
L |
6.9134552951872 |
L(r)(E,1)/r! |
Ω |
0.77692201654331 |
Real period |
R |
1.1123148700861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4118a1 |
Quadratic twists by: -4 |