Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gw |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
3.53133888563E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1797599,-207173249] |
[a1,a2,a3,a4,a6] |
Generators |
[-286630487:15929703134:1771561] |
Generators of the group modulo torsion |
j |
14553/8 |
j-invariant |
L |
12.744141192846 |
L(r)(E,1)/r! |
Ω |
0.13942374978416 |
Real period |
R |
15.234302143625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858j1 106722fs1 106722de1 |
Quadratic twists by: -3 -7 -11 |