Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241b |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.7833041751761E+22 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-69586533,223542690419] |
[a1,a2,a3,a4,a6] |
j |
-316745953955282944000000/151578353847126843 |
j-invariant |
L |
0.48426644638363 |
L(r)(E,1)/r! |
Ω |
0.12106661127052 |
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 |
8463l3 |
Quadratic twists by: -7 |