Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8436c |
Isogeny class |
Conductor |
8436 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
860781364992 = 28 · 314 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3020,-46716] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:54:1] |
Generators of the group modulo torsion |
j |
11902779103696/3362427207 |
j-invariant |
L |
3.3136463471042 |
L(r)(E,1)/r! |
Ω |
0.65779969746149 |
Real period |
R |
0.47975906284048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33744i2 25308g2 |
Quadratic twists by: -4 -3 |