Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588w |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56750299377408 = 28 · 38 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55263,4987190] |
[a1,a2,a3,a4,a6] |
j |
20720464/63 |
j-invariant |
L |
5.0364700883935 |
L(r)(E,1)/r! |
Ω |
0.62955876105384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196f2 252b2 |
Quadratic twists by: -3 13 |