Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bj |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15575040000000 = 217 · 32 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341008,76760512] |
[a1,a2,a3,a4,a6] |
Generators |
[312:800:1] |
Generators of the group modulo torsion |
j |
68523370149961/243360 |
j-invariant |
L |
3.3720775584975 |
L(r)(E,1)/r! |
Ω |
0.61175816138627 |
Real period |
R |
0.68901360278877 |
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 |
1950x2 62400gn2 46800ec2 3120x2 |
Quadratic twists by: -4 8 -3 5 |