Atkin-Lehner |
2+ 3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990f |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-36441873000000 = -1 · 26 · 33 · 56 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8286,-11052] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-1170:1] [57:774:1] |
Generators of the group modulo torsion |
j |
2330050062416517/1349699000000 |
j-invariant |
L |
7.5581139557744 |
L(r)(E,1)/r! |
Ω |
0.38705195592594 |
Real period |
R |
2.4409235762996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54990bb2 |
Quadratic twists by: -3 |