Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768ck |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-67614621696 = -1 · 214 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 5 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1937,-34479] |
[a1,a2,a3,a4,a6] |
j |
-49081386832/4126869 |
j-invariant |
L |
1.4323379897382 |
L(r)(E,1)/r! |
Ω |
0.35808454045036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bg1 30192be1 |
Quadratic twists by: -4 8 |