Atkin-Lehner |
2+ 3+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
54120b |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6927360 = 210 · 3 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144320,-21054660] |
[a1,a2,a3,a4,a6] |
Generators |
[722504:26023141:512] |
Generators of the group modulo torsion |
j |
324643211050878724/6765 |
j-invariant |
L |
5.660816170183 |
L(r)(E,1)/r! |
Ω |
0.24494448964158 |
Real period |
R |
11.555304180301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240q4 |
Quadratic twists by: -4 |