Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200dj |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.5597518405843E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6347560408,125541989731312] |
[a1,a2,a3,a4,a6] |
Generators |
[37289337398725909438830623278152:-4786751290493474811498345107868325:481228799428711848835252736] |
Generators of the group modulo torsion |
j |
441940971557374648005559249/149371122509129665872000 |
j-invariant |
L |
4.3046742665768 |
L(r)(E,1)/r! |
Ω |
0.021177339662484 |
Real period |
R |
50.816985811881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999766057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bi3 21840bx3 |
Quadratic twists by: -4 5 |