Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bb |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
125465600 = 210 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 6 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,77] |
[a1,a2,a3,a4,a6] |
j |
212629504/122525 |
j-invariant |
L |
3.1625915906039 |
L(r)(E,1)/r! |
Ω |
1.5812954617772 |
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 |
120640co1 15080h1 |
Quadratic twists by: -4 8 |