Atkin-Lehner |
3- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805z |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
63809825625 = 310 · 54 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:116:1] |
Generators of the group modulo torsion |
j |
151334226289/87530625 |
j-invariant |
L |
9.485368575834 |
L(r)(E,1)/r! |
Ω |
0.92992211259513 |
Real period |
R |
2.5500438283027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935f1 |
Quadratic twists by: -3 |