Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225cc |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
172571523691982625 = 39 · 53 · 78 · 233 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 0 4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271962,50867271] |
[a1,a2,a3,a4,a6] |
j |
24412471425434357/1893789011709 |
j-invariant |
L |
3.7730344932126 |
L(r)(E,1)/r! |
Ω |
0.31441954110235 |
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 |
12075t1 36225cg1 |
Quadratic twists by: -3 5 |