Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722by |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
4.1930554486144E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33360630,-74156087692] |
[a1,a2,a3,a4,a6] |
Generators |
[-5623738553536171:3632561579868948:1689836451031] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
7.4533975041583 |
L(r)(E,1)/r! |
Ω |
0.062819034802067 |
Real period |
R |
19.774785163029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858ba1 106722dv1 9702br1 |
Quadratic twists by: -3 -7 -11 |