Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bg |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13981749482824704 = 210 · 38 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-469371,-123641210] |
[a1,a2,a3,a4,a6] |
j |
130213720228/159201 |
j-invariant |
L |
2.9185850770042 |
L(r)(E,1)/r! |
Ω |
0.18241156714142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22344bi2 9576l2 |
Quadratic twists by: -3 -7 |