Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529k |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5818176 |
Modular degree for the optimal curve |
Δ |
-6.7476097852647E+22 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 6 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22607130,43219369170] |
[a1,a2,a3,a4,a6] |
j |
-372736000/19683 |
j-invariant |
L |
1.9550542003992 |
L(r)(E,1)/r! |
Ω |
0.10861412011925 |
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 |
24843m1 74529r1 74529l1 |
Quadratic twists by: -3 -7 13 |