Atkin-Lehner |
2+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
704a |
Isogeny class |
Conductor |
704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-704 = -1 · 26 · 11 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31281,-2139919] |
[a1,a2,a3,a4,a6] |
Generators |
[6143024:128202697:12167] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
2.2759885634581 |
L(r)(E,1)/r! |
Ω |
0.17949330116023 |
Real period |
R |
12.680075238164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
704k3 11a2 6336y3 17600e3 |
Quadratic twists by: -4 8 -3 5 |