Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
330b |
Isogeny class |
Conductor |
330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
329422500 = 22 · 32 · 54 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-255,-1323] |
[a1,a2,a3,a4,a6] |
j |
1834216913521/329422500 |
j-invariant |
L |
2.418868993809 |
L(r)(E,1)/r! |
Ω |
1.2094344969045 |
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 |
2640q4 10560e3 990e4 1650a3 |
Quadratic twists by: -4 8 -3 5 |