Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ca |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2119491556186E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76998119,-259497642765] |
[a1,a2,a3,a4,a6] |
j |
1472024100054611377/3533745483372 |
j-invariant |
L |
3.2622868597727 |
L(r)(E,1)/r! |
Ω |
0.050973232503008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28158b6 4446h5 |
Quadratic twists by: -3 -19 |