Atkin-Lehner |
2+ 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758h |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
18911232 |
Modular degree for the optimal curve |
Δ |
-4.0376169044517E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8058024,966722366272] |
[a1,a2,a3,a4,a6] |
j |
79374649975090937760383/553856914190911653543936 |
j-invariant |
L |
2.0133965007504 |
L(r)(E,1)/r! |
Ω |
0.041945760430547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586k1 |
Quadratic twists by: -3 |