Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840da |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3163299321600 = 28 · 32 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36756,-2723256] |
[a1,a2,a3,a4,a6] |
Generators |
[5178:125235:8] |
Generators of the group modulo torsion |
j |
21452617577521744/12356637975 |
j-invariant |
L |
8.8357700668298 |
L(r)(E,1)/r! |
Ω |
0.3448113270381 |
Real period |
R |
4.2708235757141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460b2 |
Quadratic twists by: -4 |