Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hm |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
16735717152 = 25 · 36 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,13115] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-101:1] |
Generators of the group modulo torsion |
j |
290521/32 |
j-invariant |
L |
7.3512510871063 |
L(r)(E,1)/r! |
Ω |
1.1961354239689 |
Real period |
R |
0.20486116997626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858s1 106722fu1 106722dw1 |
Quadratic twists by: -3 -7 -11 |