Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400v |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-31711500000000 = -1 · 28 · 37 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11633,557637] |
[a1,a2,a3,a4,a6] |
j |
-43528754176/7927875 |
j-invariant |
L |
2.530651006846 |
L(r)(E,1)/r! |
Ω |
0.6326627517115 |
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 |
34800x1 52200r1 3480j1 |
Quadratic twists by: -4 -3 5 |