Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dc |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
6589513728 = 218 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3660,85136] |
[a1,a2,a3,a4,a6] |
Generators |
[32:28:1] |
Generators of the group modulo torsion |
j |
766060875/931 |
j-invariant |
L |
6.3839684056511 |
L(r)(E,1)/r! |
Ω |
1.330594476402 |
Real period |
R |
1.1994579338605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608j1 19152bf1 76608dd1 |
Quadratic twists by: -4 8 -3 |