Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576cl |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
137429091072 = 28 · 33 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7268,235416] |
[a1,a2,a3,a4,a6] |
j |
1409938000/4563 |
j-invariant |
L |
3.1208139356518 |
L(r)(E,1)/r! |
Ω |
1.0402713118838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7644a2 122304fw2 91728ds2 624g2 |
Quadratic twists by: -4 8 -3 -7 |