Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032ce |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3495437370706176 = 28 · 38 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40719,1382290] |
[a1,a2,a3,a4,a6] |
j |
340062928/159201 |
j-invariant |
L |
3.1803484774244 |
L(r)(E,1)/r! |
Ω |
0.39754355828532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22344u2 9576w2 |
Quadratic twists by: -3 -7 |