Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ce |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13381632000000 = 218 · 33 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-409875,-101000750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3420501:74222:9261] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
6.6064514120415 |
L(r)(E,1)/r! |
Ω |
0.18868472492828 |
Real period |
R |
8.7532939067428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950b2 39600bx4 1584j2 |
Quadratic twists by: -4 -3 5 |