Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786q |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7609514446468E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2356794,1238225944] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:44870:1] |
Generators of the group modulo torsion |
j |
13415107060081/1631747052 |
j-invariant |
L |
2.4882859013073 |
L(r)(E,1)/r! |
Ω |
0.17428398929843 |
Real period |
R |
1.7846489366678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262s2 5382d2 |
Quadratic twists by: -3 -23 |