Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74529bm |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
47115898083138339 = 312 · 79 · 133 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236606,43108706] |
[a1,a2,a3,a4,a6] |
j |
22665187/729 |
j-invariant |
L |
1.425012065502 |
L(r)(E,1)/r! |
Ω |
0.35625301583864 |
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 |
24843u2 74529bl2 74529bj2 |
Quadratic twists by: -3 -7 13 |