Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gh |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
-1.9614065124756E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-428000,-21308128509] |
[a1,a2,a3,a4,a6] |
Generators |
[16305:2066997:1] |
Generators of the group modulo torsion |
j |
-1375/31104 |
j-invariant |
L |
10.391204801268 |
L(r)(E,1)/r! |
Ω |
0.045862234792057 |
Real period |
R |
2.697313367153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574i1 106722gg1 106722ck1 |
Quadratic twists by: -3 -7 -11 |