Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
330b |
Isogeny class |
Conductor |
330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3920400 = 24 · 34 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75,225] |
[a1,a2,a3,a4,a6] |
j |
46694890801/3920400 |
j-invariant |
L |
2.418868993809 |
L(r)(E,1)/r! |
Ω |
2.418868993809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
2640q2 10560e2 990e2 1650a2 |
Quadratic twists by: -4 8 -3 5 |