Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840cq |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-8.4725809029734E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32363376,156942185940] |
[a1,a2,a3,a4,a6] |
Generators |
[-2094:464256:1] |
Generators of the group modulo torsion |
j |
-915219435877001726216689/2068501197015000000000 |
j-invariant |
L |
8.2021696344032 |
L(r)(E,1)/r! |
Ω |
0.065194244392399 |
Real period |
R |
3.1452813476697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230y2 |
Quadratic twists by: -4 |