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 |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
17839353168 = 24 · 36 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-653,-78] |
[a1,a2,a3,a4,a6] |
j |
16384000/9477 |
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 |
7644a1 122304fw1 91728ds1 624g1 |
Quadratic twists by: -4 8 -3 -7 |