Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312ba |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
175742334861312 = 216 · 3 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23585,-1231839] |
[a1,a2,a3,a4,a6] |
j |
470596/57 |
j-invariant |
L |
1.5532079237834 |
L(r)(E,1)/r! |
Ω |
0.38830198069078 |
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 |
69312dv1 8664o1 3648n1 |
Quadratic twists by: -4 8 -19 |