Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856v |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-686508471657216 = -1 · 28 · 34 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21963,-147591] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-3042:1] |
Generators of the group modulo torsion |
j |
4576557860913152/2681673717411 |
j-invariant |
L |
2.8529506491267 |
L(r)(E,1)/r! |
Ω |
0.29986186292703 |
Real period |
R |
0.39642568265688 |
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 |
2964f2 47424dg2 35568ca2 |
Quadratic twists by: -4 8 -3 |