Atkin-Lehner |
3- 5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755w |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-1.1337180207358E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-515263,-215704987] |
[a1,a2,a3,a4,a6] |
j |
-15128970422266558477801/11337180207357522375 |
j-invariant |
L |
3.106263079617 |
L(r)(E,1)/r! |
Ω |
0.08628508554773 |
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 |
122265g1 |
Quadratic twists by: -3 |