Atkin-Lehner |
2- 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bb |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-18271390924800 = -1 · 218 · 33 · 52 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12788,596567] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-227:1] |
Generators of the group modulo torsion |
j |
-8565170091964227/676718182400 |
j-invariant |
L |
9.3599952164691 |
L(r)(E,1)/r! |
Ω |
0.67588579841683 |
Real period |
R |
0.57702026229451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54990f2 |
Quadratic twists by: -3 |