Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080u |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31227696424960 = -1 · 211 · 5 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7824,-39220] |
[a1,a2,a3,a4,a6] |
Generators |
[95187:5652746:27] |
Generators of the group modulo torsion |
j |
219804478/129605 |
j-invariant |
L |
8.0243841290742 |
L(r)(E,1)/r! |
Ω |
0.38666619882027 |
Real period |
R |
10.376371342466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160t2 6440h2 |
Quadratic twists by: -4 -7 |