Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384m |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-15041242058752 = -1 · 212 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,198127] |
[a1,a2,a3,a4,a6] |
j |
-3136/13 |
j-invariant |
L |
2.4426396381697 |
L(r)(E,1)/r! |
Ω |
0.61065990954243 |
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 |
20384j1 40768dz1 20384a1 |
Quadratic twists by: -4 8 -7 |