Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126852a |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580320 |
Modular degree for the optimal curve |
Δ |
-1350979403306544 = -1 · 24 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39721,3536302] |
[a1,a2,a3,a4,a6] |
j |
-507904/99 |
j-invariant |
L |
0.92384910557745 |
L(r)(E,1)/r! |
Ω |
0.46192358775685 |
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 |
126852k1 |
Quadratic twists by: -31 |