Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032ce |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-240352931585700864 = -1 · 210 · 37 · 77 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144501,10458070] |
[a1,a2,a3,a4,a6] |
j |
3799448348/2736741 |
j-invariant |
L |
3.1803484774244 |
L(r)(E,1)/r! |
Ω |
0.19877177914266 |
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 |
22344u3 9576w4 |
Quadratic twists by: -3 -7 |