Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bd |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.2978460287211E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18642108,-44205470076] |
[a1,a2,a3,a4,a6] |
j |
-579840725763250000/347816974935027 |
j-invariant |
L |
0.28286897602509 |
L(r)(E,1)/r! |
Ω |
0.035358521621185 |
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 |
9048a2 |
Quadratic twists by: 13 |