Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cd |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-42922922803200 = -1 · 216 · 39 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17955,978210] |
[a1,a2,a3,a4,a6] |
Generators |
[111:594:1] |
Generators of the group modulo torsion |
j |
-317605995/21296 |
j-invariant |
L |
5.8756256487301 |
L(r)(E,1)/r! |
Ω |
0.63150964602687 |
Real period |
R |
0.77534123794906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950a2 39600bw1 39600cs2 |
Quadratic twists by: -4 -3 5 |