Atkin-Lehner |
41- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112627d |
Isogeny class |
Conductor |
112627 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
557928 |
Modular degree for the optimal curve |
Δ |
-534989990351107 = -1 · 418 · 67 |
Discriminant |
Eigenvalues |
0 2 2 4 4 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45947,3966148] |
[a1,a2,a3,a4,a6] |
j |
-1343488/67 |
j-invariant |
L |
6.1737956106275 |
L(r)(E,1)/r! |
Ω |
0.51448286238353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112627b1 |
Quadratic twists by: 41 |