Atkin-Lehner |
2- 3- 5- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170be |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-8.8975931482912E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24917297,47901711521] |
[a1,a2,a3,a4,a6] |
j |
-2346923608932903334114249/1220520322125000000 |
j-invariant |
L |
5.602008287002 |
L(r)(E,1)/r! |
Ω |
0.15561132462495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39390e2 |
Quadratic twists by: -3 |