Atkin-Lehner |
2+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38726a |
Isogeny class |
Conductor |
38726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
30179496805941248 = 214 · 177 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447137,114890365] |
[a1,a2,a3,a4,a6] |
j |
409593028559625/1250312192 |
j-invariant |
L |
0.74632651239926 |
L(r)(E,1)/r! |
Ω |
0.37316325620654 |
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 |
2278a1 |
Quadratic twists by: 17 |