Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154u |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-254062595978334 = -1 · 2 · 32 · 113 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104277,-12992042] |
[a1,a2,a3,a4,a6] |
Generators |
[404:3093:1] |
Generators of the group modulo torsion |
j |
-25979045828113/52635726 |
j-invariant |
L |
4.2816241115417 |
L(r)(E,1)/r! |
Ω |
0.13282205596061 |
Real period |
R |
1.3431579819882 |
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 |
89232be2 33462cp2 122694dg2 858j2 |
Quadratic twists by: -4 -3 -11 13 |