Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hc |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-257386216153788414 = -1 · 2 · 36 · 77 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,158971,744923] |
[a1,a2,a3,a4,a6] |
Generators |
[538708:49208119:64] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
13.881099254984 |
L(r)(E,1)/r! |
Ω |
0.18648093844491 |
Real period |
R |
6.2030912126616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858l1 15246bj1 106722dk1 |
Quadratic twists by: -3 -7 -11 |