Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554b |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
56187356675548176 = 24 · 312 · 136 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98136,3179632] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:3908:1] [-4:1892:1] |
Generators of the group modulo torsion |
j |
29704593673/15968016 |
j-invariant |
L |
9.6142599054447 |
L(r)(E,1)/r! |
Ω |
0.30850446075206 |
Real period |
R |
7.7910217884766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003327 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37518k2 666f2 |
Quadratic twists by: -3 13 |