Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200c |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.13890625E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1304367,407419137] |
[a1,a2,a3,a4,a6] |
Generators |
[17112:2243475:1] |
Generators of the group modulo torsion |
j |
3834800837445824/3342041015625 |
j-invariant |
L |
5.3506180189377 |
L(r)(E,1)/r! |
Ω |
0.11548073672376 |
Real period |
R |
5.7916780871176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200p2 62400hk1 93600dn2 6240bf4 |
Quadratic twists by: -4 8 -3 5 |