Atkin-Lehner |
3- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205m |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
3.5272073629006E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3819270,297426987] |
[a1,a2,a3,a4,a6] |
Generators |
[-1911:25818:1] |
Generators of the group modulo torsion |
j |
6161192865311453386915681/3527207362900634765625 |
j-invariant |
L |
3.9327086373206 |
L(r)(E,1)/r! |
Ω |
0.1203421987888 |
Real period |
R |
0.45388030005982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69615i3 116025i3 |
Quadratic twists by: -3 5 |