Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034a |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
27555883519583232 = 210 · 32 · 11 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144260,19458768] |
[a1,a2,a3,a4,a6] |
j |
52523718625/4359168 |
j-invariant |
L |
0.73147206506455 |
L(r)(E,1)/r! |
Ω |
0.36573607474629 |
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 |
2838d1 |
Quadratic twists by: -43 |