Atkin-Lehner |
3- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45747l |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
491539209057 = 39 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387558,-92768409] |
[a1,a2,a3,a4,a6] |
Generators |
[-10032504113562:5070207486891:27928443304] |
Generators of the group modulo torsion |
j |
8830939964539316833/674265033 |
j-invariant |
L |
5.6059900126807 |
L(r)(E,1)/r! |
Ω |
0.19134421107761 |
Real period |
R |
14.648966856877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15249f4 |
Quadratic twists by: -3 |