Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368l |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-453617252352 = -1 · 211 · 310 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,432,-32076] |
[a1,a2,a3,a4,a6] |
Generators |
[60:462:1] |
Generators of the group modulo torsion |
j |
4343494750/221492799 |
j-invariant |
L |
6.8792310905468 |
L(r)(E,1)/r! |
Ω |
0.44893177154356 |
Real period |
R |
1.5323555886664 |
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 |
8184j2 65472bh2 49104h2 |
Quadratic twists by: -4 8 -3 |