Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4124832465600000000 = -1 · 212 · 314 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262077,-82954622] |
[a1,a2,a3,a4,a6] |
Generators |
[879:28750:1] |
Generators of the group modulo torsion |
j |
666688497209279/1381398046875 |
j-invariant |
L |
6.5703821422539 |
L(r)(E,1)/r! |
Ω |
0.12845654490031 |
Real period |
R |
3.1967922242537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465e6 18480df6 |
Quadratic twists by: -4 -3 |