Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840k |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2990080000 = 216 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- -2 6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15187,-720366] |
[a1,a2,a3,a4,a6] |
j |
94575738893481/730000 |
j-invariant |
L |
1.7202507224232 |
L(r)(E,1)/r! |
Ω |
0.43006268060579 |
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 |
730f1 23360r1 52560ba1 29200i1 |
Quadratic twists by: -4 8 -3 5 |