Atkin-Lehner |
2- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14288c |
Isogeny class |
Conductor |
14288 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-64702469618106368 = -1 · 215 · 197 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 3 0 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,94296,-5087120] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1786:1] |
Generators of the group modulo torsion |
j |
22638047668438103/15796501371608 |
j-invariant |
L |
3.7645195688572 |
L(r)(E,1)/r! |
Ω |
0.19703096328646 |
Real period |
R |
0.68236547807825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786b1 57152h1 128592n1 |
Quadratic twists by: -4 8 -3 |