Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920be |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-6.9726902388347E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9854973,4428242946] |
[a1,a2,a3,a4,a6] |
j |
1312921583804564973/864866612224000 |
j-invariant |
L |
4.1212090868297 |
L(r)(E,1)/r! |
Ω |
0.068686818112145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490d1 43920z1 |
Quadratic twists by: -4 -3 |