Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360p |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-53504000 = -1 · 211 · 53 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-352] |
[a1,a2,a3,a4,a6] |
j |
-2/26125 |
j-invariant |
L |
2.7401855156113 |
L(r)(E,1)/r! |
Ω |
0.91339517187044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16720n1 66880g1 75240f1 41800a1 |
Quadratic twists by: -4 8 -3 5 |