Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350i |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992000 |
Modular degree for the optimal curve |
Δ |
-1.7275746261562E+24 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15574374,-58644677652] |
[a1,a2,a3,a4,a6] |
j |
668460167618442454709975/2764119401849868696608 |
j-invariant |
L |
0.67969971748776 |
L(r)(E,1)/r! |
Ω |
0.042481232343101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350w2 |
Quadratic twists by: 5 |