Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660bq |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-5642131950000 = -1 · 24 · 311 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4872,173761] |
[a1,a2,a3,a4,a6] |
Generators |
[2:405:1] |
Generators of the group modulo torsion |
j |
-22377005056/9871875 |
j-invariant |
L |
7.8353384309723 |
L(r)(E,1)/r! |
Ω |
0.71130033183727 |
Real period |
R |
0.18359189162546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220u1 114660q1 |
Quadratic twists by: -3 -7 |