Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fx |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1478828824704 = -1 · 27 · 311 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -2 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75263,-7928665] |
[a1,a2,a3,a4,a6] |
j |
-991656390179/31104 |
j-invariant |
L |
4.0353551723861 |
L(r)(E,1)/r! |
Ω |
0.14411985323075 |
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 |
35574w1 106722fh1 106722cc1 |
Quadratic twists by: -3 -7 -11 |