Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200cg |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-27293760000000 = -1 · 212 · 38 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5967,180063] |
[a1,a2,a3,a4,a6] |
j |
367061696/426465 |
j-invariant |
L |
3.5577572555939 |
L(r)(E,1)/r! |
Ω |
0.44471965694908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31200bq2 62400ek1 93600bw2 6240b4 |
Quadratic twists by: -4 8 -3 5 |