Atkin-Lehner |
2- 3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bk |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1154904265820448 = 25 · 316 · 112 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7619504,-8093491725] |
[a1,a2,a3,a4,a6] |
Generators |
[133054:16838979:8] |
Generators of the group modulo torsion |
j |
67108299566393622785977/1584230817312 |
j-invariant |
L |
13.360918448357 |
L(r)(E,1)/r! |
Ω |
0.090869446854796 |
Real period |
R |
7.3517111043666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178h2 |
Quadratic twists by: -3 |