Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cr |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
53222400 |
Modular degree for the optimal curve |
Δ |
-5.2141455741545E+25 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 11- 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11697254,-347761862557] |
[a1,a2,a3,a4,a6] |
Generators |
[642153:514257559:1] |
Generators of the group modulo torsion |
j |
-20699471212993/6097712265216 |
j-invariant |
L |
13.073415907767 |
L(r)(E,1)/r! |
Ω |
0.028262923834115 |
Real period |
R |
5.256411029011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154j1 9438f1 |
Quadratic twists by: -11 13 |