Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1056f |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-513216 = -1 · 26 · 36 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
314432/8019 |
j-invariant |
L |
2.5686819516268 |
L(r)(E,1)/r! |
Ω |
2.2040878417227 |
Real period |
R |
0.38847241067294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1056b1 2112s2 3168v1 26400bi1 |
Quadratic twists by: -4 8 -3 5 |