Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bc |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.0381164865146E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37307408,-111390479688] |
[a1,a2,a3,a4,a6] |
j |
-717825640026599866952/254764560814329735 |
j-invariant |
L |
1.9205472366839 |
L(r)(E,1)/r! |
Ω |
0.030008550573145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200bv2 62400ha3 93600v2 6240l4 |
Quadratic twists by: -4 8 -3 5 |