Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144bd |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9400320 |
Modular degree for the optimal curve |
Δ |
-4.7734224806643E+24 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24835960,115400281044] |
[a1,a2,a3,a4,a6] |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
0.54348865246724 |
L(r)(E,1)/r! |
Ω |
0.067936081558864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018g1 128576cy1 4592d1 |
Quadratic twists by: -4 8 -7 |