Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650z |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
76234752 |
Modular degree for the optimal curve |
Δ |
-1.6677971780757E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2540236126,49317644621648] |
[a1,a2,a3,a4,a6] |
Generators |
[12022:-4535524:1] |
Generators of the group modulo torsion |
j |
-116018153744412142670258684881/106739019396843621580800 |
j-invariant |
L |
5.6257459540013 |
L(r)(E,1)/r! |
Ω |
0.047041166960408 |
Real period |
R |
2.4914994307888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130z1 |
Quadratic twists by: 5 |