Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240fu |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
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 |
[216720:7331828:125] |
Generators of the group modulo torsion |
j |
353108405631241/172500 |
j-invariant |
L |
6.4508394597898 |
L(r)(E,1)/r! |
Ω |
0.15731806086567 |
Real period |
R |
10.251269664017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ch4 16560bp3 22080cm4 |
Quadratic twists by: -4 8 -3 |