Atkin-Lehner |
2- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112784j |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
424704 |
Modular degree for the optimal curve |
Δ |
-476361735012352 = -1 · 226 · 7 · 192 · 532 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35339,2764218] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:2014:1] [119:494:1] |
Generators of the group modulo torsion |
j |
-1191589127906913/116299251712 |
j-invariant |
L |
12.373376769287 |
L(r)(E,1)/r! |
Ω |
0.51272577661336 |
Real period |
R |
6.0331357116593 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098f1 |
Quadratic twists by: -4 |