Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bk |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-2.6457592720893E+23 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9710212,27353526096] |
[a1,a2,a3,a4,a6] |
Generators |
[-1377238120:32156122676:357911] |
Generators of the group modulo torsion |
j |
-457239508039360773/1194769707433984 |
j-invariant |
L |
4.0601856217776 |
L(r)(E,1)/r! |
Ω |
0.086648482615607 |
Real period |
R |
11.714531864416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999491707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950df1 10450bd1 |
Quadratic twists by: 5 -11 |