Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bt |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
111257763840000 = 217 · 310 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38028,-2808848] |
[a1,a2,a3,a4,a6] |
Generators |
[1172:39528:1] |
Generators of the group modulo torsion |
j |
63649751618/1164375 |
j-invariant |
L |
5.8424684960752 |
L(r)(E,1)/r! |
Ω |
0.34225987440443 |
Real period |
R |
4.267567522043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ej4 8280l3 22080bj4 |
Quadratic twists by: -4 8 -3 |