Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20086d |
Isogeny class |
Conductor |
20086 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-12525418134592 = -1 · 26 · 119 · 83 |
Discriminant |
Eigenvalues |
2- -2 0 1 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-659513,206095033] |
[a1,a2,a3,a4,a6] |
Generators |
[472:-115:1] |
Generators of the group modulo torsion |
j |
-17907613978515625/7070272 |
j-invariant |
L |
5.3259346756677 |
L(r)(E,1)/r! |
Ω |
0.57732949866373 |
Real period |
R |
0.76876011128177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826a2 |
Quadratic twists by: -11 |