Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722w |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16934400 |
Modular degree for the optimal curve |
Δ |
-1.3926554242292E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160857846,785501859764] |
[a1,a2,a3,a4,a6] |
Generators |
[3868:468346:1] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
5.8504000564903 |
L(r)(E,1)/r! |
Ω |
0.10127871871193 |
Real period |
R |
7.2206680242599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ez1 106722h1 9702bi1 |
Quadratic twists by: -3 -7 -11 |