Atkin-Lehner |
2+ 3- 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202k |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.5743963596988E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3744063,2547518845] |
[a1,a2,a3,a4,a6] |
Generators |
[-2158:25037:1] |
Generators of the group modulo torsion |
j |
7962064520990539648753/764663423826992976 |
j-invariant |
L |
3.4519849385555 |
L(r)(E,1)/r! |
Ω |
0.15945429644166 |
Real period |
R |
2.7060927608963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734m2 |
Quadratic twists by: -3 |