Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812n |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15279249833832192 = 28 · 3 · 138 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65948588,-206159181084] |
[a1,a2,a3,a4,a6] |
Generators |
[1458180:-203589399:64] |
Generators of the group modulo torsion |
j |
25670843788818706000/12365223 |
j-invariant |
L |
5.8145547907868 |
L(r)(E,1)/r! |
Ω |
0.052978319578456 |
Real period |
R |
9.1461231014945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524e4 |
Quadratic twists by: 13 |