Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782s |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-40423338032896 = -1 · 28 · 710 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ -2 1 7- -2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174123,27953174] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-56:1] |
Generators of the group modulo torsion |
j |
-2066846148409/143104 |
j-invariant |
L |
3.0950898495535 |
L(r)(E,1)/r! |
Ω |
0.6132158483541 |
Real period |
R |
2.5236544830609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782f1 |
Quadratic twists by: -7 |