Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640co |
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] |
Generators |
[-9:20:1] |
Generators of the group modulo torsion |
j |
212629504/122525 |
j-invariant |
L |
3.6823185553596 |
L(r)(E,1)/r! |
Ω |
1.5542591990769 |
Real period |
R |
1.1845896350137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996759034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bb1 30160d1 |
Quadratic twists by: -4 8 |