Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760q |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1634304 |
Modular degree for the optimal curve |
Δ |
-3.8873925E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124572,300453536] |
[a1,a2,a3,a4,a6] |
Generators |
[157:16875:1] |
Generators of the group modulo torsion |
j |
-71597448725824/13018798828125 |
j-invariant |
L |
8.349511831816 |
L(r)(E,1)/r! |
Ω |
0.16720950360078 |
Real period |
R |
0.44584315631272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760bn1 37920j1 |
Quadratic twists by: -4 -3 |