Atkin-Lehner |
3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425c |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
31495078125 = 36 · 57 · 7 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1200,13531] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:112:1] [-110:1321:8] |
Generators of the group modulo torsion |
j |
16777216/2765 |
j-invariant |
L |
10.087345515223 |
L(r)(E,1)/r! |
Ω |
1.1191135741856 |
Real period |
R |
1.1267115496875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825a1 24885d1 |
Quadratic twists by: -3 5 |