Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120x |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9525739520 = 214 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,-2225] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:44:1] |
Generators of the group modulo torsion |
j |
1193895376/581405 |
j-invariant |
L |
2.9677778506509 |
L(r)(E,1)/r! |
Ω |
1.0301887559005 |
Real period |
R |
1.4404048859319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120g2 27280j2 |
Quadratic twists by: -4 8 |