Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088g |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-1.2100979314543E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,167344918] |
[a1,a2,a3,a4,a6] |
Generators |
[26872775:1139372784:15625] |
Generators of the group modulo torsion |
j |
4/9 |
j-invariant |
L |
8.0735753503721 |
L(r)(E,1)/r! |
Ω |
0.17698306172092 |
Real period |
R |
11.404446380163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76176m1 12696t1 38088o1 |
Quadratic twists by: -4 -3 -23 |