Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bt |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
71648811035156250 = 2 · 310 · 513 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105053,-2403669] |
[a1,a2,a3,a4,a6] |
Generators |
[-999654202:33562552149:20570824] |
Generators of the group modulo torsion |
j |
175880497476668041/98283691406250 |
j-invariant |
L |
9.0749661240023 |
L(r)(E,1)/r! |
Ω |
0.28478117381345 |
Real period |
R |
15.933226909792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910l1 |
Quadratic twists by: -3 |