Atkin-Lehner |
41+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112627b |
Isogeny class |
Conductor |
112627 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
-112627 = -1 · 412 · 67 |
Discriminant |
Eigenvalues |
0 -2 2 -4 -4 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] [2:2:1] |
Generators of the group modulo torsion |
j |
-1343488/67 |
j-invariant |
L |
5.5427872089628 |
L(r)(E,1)/r! |
Ω |
3.2942976858718 |
Real period |
R |
1.6825398733201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112627d1 |
Quadratic twists by: 41 |