Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720f |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4091904 |
Modular degree for the optimal curve |
Δ |
-3.1139331552244E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1302188,-1023692112] |
[a1,a2,a3,a4,a6] |
j |
-3726188731883770884/4751484917029375 |
j-invariant |
L |
0.80924278301708 |
L(r)(E,1)/r! |
Ω |
0.067436828405684 |
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 |
118720o1 14840d1 |
Quadratic twists by: -4 8 |