Atkin-Lehner |
7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
45227j |
Isogeny class |
Conductor |
45227 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
81830295236417 = 79 · 134 · 71 |
Discriminant |
Eigenvalues |
-1 -2 -4 7- 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-128675,-17771384] |
[a1,a2,a3,a4,a6] |
Generators |
[3774:39349:8] |
Generators of the group modulo torsion |
j |
5838806646343/2027831 |
j-invariant |
L |
1.3465638111982 |
L(r)(E,1)/r! |
Ω |
0.25207805820736 |
Real period |
R |
5.3418525228896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45227o2 |
Quadratic twists by: -7 |