Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720z |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-83820631818240 = -1 · 218 · 311 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10932,21872] |
[a1,a2,a3,a4,a6] |
j |
756058031/438615 |
j-invariant |
L |
1.4598378248622 |
L(r)(E,1)/r! |
Ω |
0.36495945637954 |
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 |
54720ea1 855c1 18240t1 |
Quadratic twists by: -4 8 -3 |