Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gk |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-455347200 = -1 · 210 · 3 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27,-1023] |
[a1,a2,a3,a4,a6] |
Generators |
[26:119:1] |
Generators of the group modulo torsion |
j |
1772855/371712 |
j-invariant |
L |
13.164624493713 |
L(r)(E,1)/r! |
Ω |
0.78545313476419 |
Real period |
R |
0.83802737003909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bj1 80850dt1 |
Quadratic twists by: 5 -7 |