Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200ci |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
13966933781250000 = 24 · 312 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284250,58053125] |
[a1,a2,a3,a4,a6] |
j |
111492995072/613089 |
j-invariant |
L |
1.5941520747958 |
L(r)(E,1)/r! |
Ω |
0.39853801867656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400by1 17400g1 52200bb1 |
Quadratic twists by: -4 -3 5 |