Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cx |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1292544 |
Modular degree for the optimal curve |
Δ |
-169401821605632000 = -1 · 211 · 32 · 53 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217840,43786400] |
[a1,a2,a3,a4,a6] |
j |
-2604156962/385875 |
j-invariant |
L |
5.6000583285875 |
L(r)(E,1)/r! |
Ω |
0.31111435861049 |
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 |
101640bh1 |
Quadratic twists by: -11 |