Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gr |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2.045443631616E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11409063,14671372617] |
[a1,a2,a3,a4,a6] |
Generators |
[3182:-104491:1] |
Generators of the group modulo torsion |
j |
89343998142858649/1112702976000 |
j-invariant |
L |
12.622467022055 |
L(r)(E,1)/r! |
Ω |
0.1476392685727 |
Real period |
R |
1.1874350477339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170r3 11550bo3 |
Quadratic twists by: 5 -7 |