Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330s |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
426820461539062500 = 22 · 36 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-233278425,-1371328514375] |
[a1,a2,a3,a4,a6] |
Generators |
[-1546988420671091613:776794736617236749:175437308641141] |
Generators of the group modulo torsion |
j |
16369358802802724130049/4976562500 |
j-invariant |
L |
3.6020237793423 |
L(r)(E,1)/r! |
Ω |
0.038630551739191 |
Real period |
R |
23.310719217726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370v5 8190x5 |
Quadratic twists by: -3 -7 |