Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240cr |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-23693783040 = -1 · 212 · 37 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,7904] |
[a1,a2,a3,a4,a6] |
Generators |
[10:72:1] |
Generators of the group modulo torsion |
j |
-1906624/7935 |
j-invariant |
L |
5.260538556396 |
L(r)(E,1)/r! |
Ω |
1.0454583059807 |
Real period |
R |
1.2579503472595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240de1 33120i1 22080l1 |
Quadratic twists by: -4 8 -3 |