Atkin-Lehner |
2- 3- 11+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202y |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6056427117312 = 28 · 37 · 112 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37481,2799785] |
[a1,a2,a3,a4,a6] |
Generators |
[339:-5552:1] [-167:2176:1] |
Generators of the group modulo torsion |
j |
7987646364307273/8307856128 |
j-invariant |
L |
12.611899276087 |
L(r)(E,1)/r! |
Ω |
0.75231567026636 |
Real period |
R |
0.26193914865462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734l2 |
Quadratic twists by: -3 |