Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ch |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32965263360000 = 220 · 37 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-848172,300658736] |
[a1,a2,a3,a4,a6] |
Generators |
[472:2340:1] |
Generators of the group modulo torsion |
j |
353108405631241/172500 |
j-invariant |
L |
7.8403913461325 |
L(r)(E,1)/r! |
Ω |
0.53680465429197 |
Real period |
R |
1.8257086827313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240fu4 2070n3 22080h4 |
Quadratic twists by: -4 8 -3 |