Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5696b |
Isogeny class |
Conductor |
5696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2956854296576 = -1 · 222 · 893 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 6 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35457,-2559359] |
[a1,a2,a3,a4,a6] |
Generators |
[225:896:1] |
Generators of the group modulo torsion |
j |
-18806241149857/11279504 |
j-invariant |
L |
2.1129773817352 |
L(r)(E,1)/r! |
Ω |
0.17395119583682 |
Real period |
R |
3.0367387984463 |
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 |
5696i2 178a2 51264u2 |
Quadratic twists by: -4 8 -3 |