Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544ei |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
14836964524032 = 231 · 3 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6400,-69196] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:4096:27] |
Generators of the group modulo torsion |
j |
144469264849/73924608 |
j-invariant |
L |
4.2669047681748 |
L(r)(E,1)/r! |
Ω |
0.56383375066045 |
Real period |
R |
1.8919161544924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818q1 110544bu1 |
Quadratic twists by: -4 -7 |