Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ei |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6220800 |
Modular degree for the optimal curve |
Δ |
-2.1663877366297E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4198844,3998764487] |
[a1,a2,a3,a4,a6] |
Generators |
[-54303:1798699:27] |
Generators of the group modulo torsion |
j |
-71285434106859/18863581528 |
j-invariant |
L |
6.9661217438279 |
L(r)(E,1)/r! |
Ω |
0.1391981952166 |
Real period |
R |
2.0851927869877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722j2 106722fd1 9702d1 |
Quadratic twists by: -3 -7 -11 |