Atkin-Lehner |
2- 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cm |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
76234752 |
Modular degree for the optimal curve |
Δ |
-4.3720302344947E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1625751120,-25251284346732] |
[a1,a2,a3,a4,a6] |
j |
-116018153744412142670258684881/106739019396843621580800 |
j-invariant |
L |
1.5215703219327 |
L(r)(E,1)/r! |
Ω |
0.011887268817191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130z1 |
Quadratic twists by: -4 |