Atkin-Lehner |
3- 7+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557m |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.4803888585812E+27 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5414782424,153330195950286] |
[a1,a2,a3,a4,a6] |
Generators |
[83575076:-3442291347:2197] |
Generators of the group modulo torsion |
j |
24084587660970622365875234060857/6145938077614793845381197 |
j-invariant |
L |
5.1175344042618 |
L(r)(E,1)/r! |
Ω |
0.042524025056578 |
Real period |
R |
10.028711965408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519d4 |
Quadratic twists by: -3 |