Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440p |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2867293440000 = 211 · 32 · 54 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7536,-235764] |
[a1,a2,a3,a4,a6] |
j |
23113944025058/1400045625 |
j-invariant |
L |
2.0573687324824 |
L(r)(E,1)/r! |
Ω |
0.51434218312061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880l3 67320q3 112200bb3 |
Quadratic twists by: -4 -3 5 |