Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490ch |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
602342813188215000 = 23 · 35 · 54 · 116 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1287866,-561407604] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:1414:1] |
Generators of the group modulo torsion |
j |
133345896593725369/340006815000 |
j-invariant |
L |
13.356661073328 |
L(r)(E,1)/r! |
Ω |
0.14174195974439 |
Real period |
R |
1.5705371807339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690e3 |
Quadratic twists by: -11 |