Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
102414r |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1261770673884741072 = 24 · 36 · 139 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31674068,68609939904] |
[a1,a2,a3,a4,a6] |
Generators |
[1134658:-2564402:343] |
Generators of the group modulo torsion |
j |
728073347908550631625/261408867408 |
j-invariant |
L |
11.924369349335 |
L(r)(E,1)/r! |
Ω |
0.2202696716018 |
Real period |
R |
1.1278191830814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878b2 |
Quadratic twists by: 13 |