Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gq |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-94706127331200 = -1 · 27 · 33 · 52 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4068,-479088] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-3348:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
12.213440004056 |
L(r)(E,1)/r! |
Ω |
0.25652977301709 |
Real period |
R |
0.37785892208237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850bl1 11550bn1 |
Quadratic twists by: 5 -7 |