Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ee |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-5855564639232 = -1 · 210 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2729,129385] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:380:1] |
Generators of the group modulo torsion |
j |
-392931/1024 |
j-invariant |
L |
13.461723692534 |
L(r)(E,1)/r! |
Ω |
0.66943841699348 |
Real period |
R |
0.33514966445032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722g1 106722ey1 106722f1 |
Quadratic twists by: -3 -7 -11 |