Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544q |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1070157892608 = 210 · 33 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9285712,-10887984848] |
[a1,a2,a3,a4,a6] |
Generators |
[5611988423461375310937355905:1036783920636904967268840538804:163089080789260876412625] |
Generators of the group modulo torsion |
j |
734989595643926788/8883 |
j-invariant |
L |
7.6423260461091 |
L(r)(E,1)/r! |
Ω |
0.086485987456103 |
Real period |
R |
44.182452200056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bc4 15792l3 |
Quadratic twists by: -4 -7 |