Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950t |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
38795193000000 = 26 · 312 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48638,4097531] |
[a1,a2,a3,a4,a6] |
j |
814388006841625/2482892352 |
j-invariant |
L |
3.8990501831345 |
L(r)(E,1)/r! |
Ω |
0.64984169718908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600ch1 32850r1 438d1 |
Quadratic twists by: -4 -3 5 |