Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gr |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-21869883309238272 = -1 · 211 · 37 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10814,-7125555] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-5661:1] |
Generators of the group modulo torsion |
j |
-13475473/2107392 |
j-invariant |
L |
13.108468204878 |
L(r)(E,1)/r! |
Ω |
0.16986823288612 |
Real period |
R |
0.87691420156217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574n1 15246bt1 106722dc1 |
Quadratic twists by: -3 -7 -11 |