Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9715064832000000 = -1 · 219 · 34 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19233,4845663] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:2400:1] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
5.2975256962356 |
L(r)(E,1)/r! |
Ω |
0.34691130045529 |
Real period |
R |
0.95440925556839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bj3 13200bu4 2112u4 |
Quadratic twists by: -4 8 5 |