Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200gc |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1.1913615306255E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31686208,68643498548] |
[a1,a2,a3,a4,a6] |
j |
-34358530063612633515625/1163438994751488 |
j-invariant |
L |
5.2260830022294 |
L(r)(E,1)/r! |
Ω |
0.17420277858643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650bt2 109200em2 |
Quadratic twists by: -4 5 |