Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680em |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
13483008 |
Modular degree for the optimal curve |
Δ |
-2.5297949005185E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -5 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14361985,32012200225] |
[a1,a2,a3,a4,a6] |
j |
-1249761744922780803169/965040168960000000 |
j-invariant |
L |
1.2662547629076 |
L(r)(E,1)/r! |
Ω |
0.09044681606776 |
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 |
127680dc1 31920bn1 |
Quadratic twists by: -4 8 |