Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800do |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
471374808219648000 = 234 · 32 · 53 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204488,13184628] |
[a1,a2,a3,a4,a6] |
j |
1846967939946557/920653922304 |
j-invariant |
L |
4.1909503778946 |
L(r)(E,1)/r! |
Ω |
0.26193439861758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350e1 104400ga1 34800ck1 |
Quadratic twists by: -4 -3 5 |