Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200a |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
29811600000000 = 210 · 32 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91008,10594512] |
[a1,a2,a3,a4,a6] |
Generators |
[72:2100:1] |
Generators of the group modulo torsion |
j |
5210113839844/1863225 |
j-invariant |
L |
5.3424026028999 |
L(r)(E,1)/r! |
Ω |
0.64937583651469 |
Real period |
R |
1.0283726141765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817729 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600w2 21840v2 |
Quadratic twists by: -4 5 |