Atkin-Lehner |
2+ 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7878b |
Isogeny class |
Conductor |
7878 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
261408867408 = 24 · 36 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187421,31214504] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:5938:1] |
Generators of the group modulo torsion |
j |
728073347908550631625/261408867408 |
j-invariant |
L |
3.9775191569509 |
L(r)(E,1)/r! |
Ω |
0.79419359538989 |
Real period |
R |
2.5041244225838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63024k2 23634m2 102414r2 |
Quadratic twists by: -4 -3 13 |