Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552i |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-12876963665163264 = -1 · 210 · 36 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -3 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58029,926782] |
[a1,a2,a3,a4,a6] |
j |
48668/29 |
j-invariant |
L |
1.9504285857866 |
L(r)(E,1)/r! |
Ω |
0.24380357314133 |
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 |
121104q1 6728d1 2088m1 |
Quadratic twists by: -4 -3 29 |