Atkin-Lehner |
3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873f |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-2140047 = -1 · 33 · 7 · 132 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,-70] |
[a1,a2,a3,a4,a6] |
Generators |
[28:133:1] |
Generators of the group modulo torsion |
j |
17779581/79261 |
j-invariant |
L |
4.4922568852081 |
L(r)(E,1)/r! |
Ω |
1.316269714573 |
Real period |
R |
3.4128695931477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54873e1 |
Quadratic twists by: -3 |