Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bk |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-5515817224140000000 = -1 · 28 · 34 · 57 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-447181,161443825] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-9522:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
2.9923246839715 |
L(r)(E,1)/r! |
Ω |
0.22363637935532 |
Real period |
R |
1.6725391253595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997639541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31740g1 5520s1 |
Quadratic twists by: -4 -23 |