Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722bj |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-7.6103956392352E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1626399,4120188925] |
[a1,a2,a3,a4,a6] |
Generators |
[-862:46007:1] [333:68380:1] |
Generators of the group modulo torsion |
j |
48013/768 |
j-invariant |
L |
9.8496143464024 |
L(r)(E,1)/r! |
Ω |
0.098034014600304 |
Real period |
R |
12.558924557817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bo1 106722cd1 106722fi1 |
Quadratic twists by: -3 -7 -11 |