Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384f |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-783071744 = -1 · 29 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 2 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,1352] |
[a1,a2,a3,a4,a6] |
j |
-8/13 |
j-invariant |
L |
1.283276139739 |
L(r)(E,1)/r! |
Ω |
1.2832761397391 |
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 |
20384x1 40768bj1 416a1 |
Quadratic twists by: -4 8 -7 |