Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940b |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1099154707200 = -1 · 28 · 37 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2379,-24255] |
[a1,a2,a3,a4,a6] |
j |
5814126903296/4293573075 |
j-invariant |
L |
0.97664788045099 |
L(r)(E,1)/r! |
Ω |
0.4883239402099 |
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 |
116820bb1 |
Quadratic twists by: -3 |