Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550f |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
63217968750 = 2 · 37 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47700,-4029750] |
[a1,a2,a3,a4,a6] |
j |
30727911305065/161838 |
j-invariant |
L |
0.96914813951594 |
L(r)(E,1)/r! |
Ω |
0.32304937983865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400cy1 16650ch1 5550bi1 |
Quadratic twists by: -4 -3 5 |