Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650cz |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-4220725781250 = -1 · 2 · 32 · 58 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6888,240642] |
[a1,a2,a3,a4,a6] |
j |
-92522430625/10805058 |
j-invariant |
L |
6.0563927696803 |
L(r)(E,1)/r! |
Ω |
0.75704909742766 |
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 |
67650o1 |
Quadratic twists by: 5 |