Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bt |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-262799769600 = -1 · 214 · 34 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1135,20175] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:120:1] |
Generators of the group modulo torsion |
j |
9860720816/16040025 |
j-invariant |
L |
8.2028408551264 |
L(r)(E,1)/r! |
Ω |
0.67007134342234 |
Real period |
R |
0.76510890779199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440l2 21360h2 |
Quadratic twists by: -4 8 |