Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1056b |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
4 |
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 |
[4:6:1] |
Generators of the group modulo torsion |
j |
314432/8019 |
j-invariant |
L |
2.0757730771315 |
L(r)(E,1)/r! |
Ω |
1.4206395637021 |
Real period |
R |
1.4611539268428 |
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 |
1056f1 2112bb2 3168y1 26400bw1 |
Quadratic twists by: -4 8 -3 5 |