Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gb |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2345052143616000000 = -1 · 239 · 3 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10422608,12948016788] |
[a1,a2,a3,a4,a6] |
j |
-1956469094246217097/36641439744 |
j-invariant |
L |
4.283045291602 |
L(r)(E,1)/r! |
Ω |
0.23794696091773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650br3 4368p3 |
Quadratic twists by: -4 5 |