Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722t |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10999296 |
Modular degree for the optimal curve |
Δ |
-4.1203157640547E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8474394,2281730534] |
[a1,a2,a3,a4,a6] |
Generators |
[194610508108150:15064326955933567:61442834536] |
Generators of the group modulo torsion |
j |
3267/2 |
j-invariant |
L |
6.6264776801287 |
L(r)(E,1)/r! |
Ω |
0.070596254328432 |
Real period |
R |
23.466109297034 |
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 |
106722ex1 106722bc1 106722et1 |
Quadratic twists by: -3 -7 -11 |