Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608u |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
181108720336896 = 216 · 38 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-560737,-161428895] |
[a1,a2,a3,a4,a6] |
Generators |
[29327095:8575061760:343] |
Generators of the group modulo torsion |
j |
297524132353809508/2763499761 |
j-invariant |
L |
3.9509698289929 |
L(r)(E,1)/r! |
Ω |
0.1744656483541 |
Real period |
R |
11.32305951851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970881 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608cy2 15576j2 |
Quadratic twists by: -4 8 |