Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870n |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
998775360 |
Modular degree for the optimal curve |
Δ |
-3.4135778586912E+32 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-411575040438,101633927710066117] |
[a1,a2,a3,a4,a6] |
j |
-3269916285809813012789023673619/144769024000000000000000 |
j-invariant |
L |
7.9674601724725 |
L(r)(E,1)/r! |
Ω |
0.016063427771072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870b1 |
Quadratic twists by: -11 |