Atkin-Lehner |
2- 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75348q |
Isogeny class |
Conductor |
75348 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-244442737453824 = -1 · 28 · 36 · 72 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139296,20024548] |
[a1,a2,a3,a4,a6] |
j |
-1601666731737088/1309814051 |
j-invariant |
L |
3.307719491275 |
L(r)(E,1)/r! |
Ω |
0.55128658175202 |
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 |
8372d2 |
Quadratic twists by: -3 |