Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bm |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11131756376832 = -1 · 28 · 37 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,-74774] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-882:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
5.8650970910973 |
L(r)(E,1)/r! |
Ω |
0.4025984012389 |
Real period |
R |
0.91050676571441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bg2 15288l2 936h2 |
Quadratic twists by: -4 -3 -7 |