Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120cm |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-410493436559360 = -1 · 219 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69400,7081108] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
1.068193328491 |
L(r)(E,1)/r! |
Ω |
0.53409666428017 |
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 |
5390s1 880e1 |
Quadratic twists by: -4 -7 |