Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042ck |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.8357419032518E+27 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-809906007,9722217319443] |
[a1,a2,a3,a4,a6] |
j |
-499389414448500029215603297/58102847480656897356438 |
j-invariant |
L |
5.2350754680594 |
L(r)(E,1)/r! |
Ω |
0.040899027095883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bz5 6006bd6 |
Quadratic twists by: -3 -7 |