Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042ck |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.3171611187626E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-831298917,9224934847911] |
[a1,a2,a3,a4,a6] |
j |
540016607532350974290947137/6219484329456802404 |
j-invariant |
L |
5.2350754680594 |
L(r)(E,1)/r! |
Ω |
0.081798054191767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126bz4 6006bd3 |
Quadratic twists by: -3 -7 |