Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270cf |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
151511833313280 = 216 · 32 · 5 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13615,151097] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:893:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
14.919819501869 |
L(r)(E,1)/r! |
Ω |
0.50394380162839 |
Real period |
R |
1.8503823539764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870d1 |
Quadratic twists by: -11 |