Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bt |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
4094527574016 = 212 · 314 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16454964,-25691740000] |
[a1,a2,a3,a4,a6] |
j |
165016376059269518272/1371249 |
j-invariant |
L |
0.59967319440857 |
L(r)(E,1)/r! |
Ω |
0.074959265182094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384q1 60192p1 40128g1 |
Quadratic twists by: -4 8 -3 |