Atkin-Lehner |
41+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112627c |
Isogeny class |
Conductor |
112627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
517440 |
Modular degree for the optimal curve |
Δ |
-534989990351107 = -1 · 418 · 67 |
Discriminant |
Eigenvalues |
0 -2 4 2 -2 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2241,-1114332] |
[a1,a2,a3,a4,a6] |
j |
-262144/112627 |
j-invariant |
L |
0.46693856863576 |
L(r)(E,1)/r! |
Ω |
0.23346936663683 |
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 |
2747a1 |
Quadratic twists by: 41 |