Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088r |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-39713884013808 = -1 · 24 · 36 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261855,-51575913] |
[a1,a2,a3,a4,a6] |
j |
-1149984000/23 |
j-invariant |
L |
0.84419700515415 |
L(r)(E,1)/r! |
Ω |
0.10552462563888 |
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 |
76176b1 4232e1 1656e1 |
Quadratic twists by: -4 -3 -23 |