Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420bc |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
11525737639680 = 28 · 34 · 5 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22700,-1313820] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:66:1] |
Generators of the group modulo torsion |
j |
3796666013936/33826005 |
j-invariant |
L |
10.331661424088 |
L(r)(E,1)/r! |
Ω |
0.38915711462193 |
Real period |
R |
1.106200758724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999352529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123420bb2 |
Quadratic twists by: -11 |