Atkin-Lehner |
2+ 3+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864a |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-3785472 = -1 · 28 · 32 · 31 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[12:45:1] |
Generators of the group modulo torsion |
j |
24974336/14787 |
j-invariant |
L |
6.3419868973145 |
L(r)(E,1)/r! |
Ω |
1.4550925903255 |
Real period |
R |
2.1792382627569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39432e1 |
Quadratic twists by: -4 |