Atkin-Lehner |
2+ 3- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224d |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
429475758336 = 28 · 36 · 372 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4599,-115830] |
[a1,a2,a3,a4,a6] |
Generators |
[163765:3540160:343] |
Generators of the group modulo torsion |
j |
57642982992/2301289 |
j-invariant |
L |
8.8802490267401 |
L(r)(E,1)/r! |
Ω |
0.5811675301444 |
Real period |
R |
7.6400078490336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004834 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12136c2 |
Quadratic twists by: -3 |