Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12540k |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
Δ |
-6.5768599067762E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61106980,187932998228] |
[a1,a2,a3,a4,a6] |
Generators |
[5531:138510:1] |
Generators of the group modulo torsion |
j |
-98572600979533042623961936/2569085901084462890625 |
j-invariant |
L |
5.9277662158381 |
L(r)(E,1)/r! |
Ω |
0.090734233525365 |
Real period |
R |
0.43554058819346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160bn2 37620g2 62700b2 |
Quadratic twists by: -4 -3 5 |