Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
330b |
Isogeny class |
Conductor |
330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1443420 = 22 · 38 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1175,15405] |
[a1,a2,a3,a4,a6] |
j |
179415687049201/1443420 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
2640q3 10560e4 990e3 1650a4 |
Quadratic twists by: -4 8 -3 5 |