Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bq |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.6692910909821E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50673803,138549253187] |
[a1,a2,a3,a4,a6] |
Generators |
[1225:279228:1] [31190:107129:8] |
Generators of the group modulo torsion |
j |
133345896593725369/340006815000 |
j-invariant |
L |
12.511450568649 |
L(r)(E,1)/r! |
Ω |
0.11599118816042 |
Real period |
R |
8.9887938666406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870p3 2070q3 |
Quadratic twists by: -3 -23 |