Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2280i |
Isogeny class |
Conductor |
2280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-9618750000 = -1 · 24 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,305,-4150] |
[a1,a2,a3,a4,a6] |
j |
195469297664/601171875 |
j-invariant |
L |
2.647386668036 |
L(r)(E,1)/r! |
Ω |
0.66184666700901 |
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 |
4560d1 18240f1 6840e1 11400a1 |
Quadratic twists by: -4 8 -3 5 |