Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056j |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.5511734444005E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633584,42319244] |
[a1,a2,a3,a4,a6] |
j |
569001644066/313788397 |
j-invariant |
L |
0.76763251667849 |
L(r)(E,1)/r! |
Ω |
0.19190812916959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112i2 1768b2 |
Quadratic twists by: -4 17 |