Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bb |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4818540703449088 = -1 · 216 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41140,-915728] |
[a1,a2,a3,a4,a6] |
Generators |
[198:3872:1] |
Generators of the group modulo torsion |
j |
66325500/41503 |
j-invariant |
L |
5.0301573303763 |
L(r)(E,1)/r! |
Ω |
0.24943642173628 |
Real period |
R |
1.6805075001201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bu1 6776i1 4928g1 |
Quadratic twists by: -4 8 -11 |