Atkin-Lehner |
2- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
704f |
Isogeny class |
Conductor |
704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-180224 = -1 · 214 · 11 |
Discriminant |
Eigenvalues |
2- 1 3 -2 11+ 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,19] |
[a1,a2,a3,a4,a6] |
j |
8192/11 |
j-invariant |
L |
2.1595534098903 |
L(r)(E,1)/r! |
Ω |
2.1595534098903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
704d1 176c1 6336cm1 17600bs1 |
Quadratic twists by: -4 8 -3 5 |