Atkin-Lehner |
2- 3+ 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bo |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5268480 |
Modular degree for the optimal curve |
Δ |
-1.3407315527094E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2296622,1351730269] |
[a1,a2,a3,a4,a6] |
j |
-68061388472635959387/681162197180000 |
j-invariant |
L |
8.9884023239656 |
L(r)(E,1)/r! |
Ω |
0.22471006369587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990c1 |
Quadratic twists by: -3 |