Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544dy |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1114028826624 = -1 · 213 · 310 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 3 -5 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-576,50868] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-216:1] |
Generators of the group modulo torsion |
j |
-105484561/5550606 |
j-invariant |
L |
6.3272005248849 |
L(r)(E,1)/r! |
Ω |
0.72091780398236 |
Real period |
R |
0.21941476851783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818m1 110544br1 |
Quadratic twists by: -4 -7 |