Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1056c |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
627264 = 26 · 34 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,-56] |
[a1,a2,a3,a4,a6] |
j |
69934528/9801 |
j-invariant |
L |
0.99533181928541 |
L(r)(E,1)/r! |
Ω |
1.9906636385708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1056i1 2112k2 3168u1 26400cb1 |
Quadratic twists by: -4 8 -3 5 |