Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506n |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
45360000 |
Modular degree for the optimal curve |
Δ |
-3.6849687351888E+28 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,770200397,-4196703975346] |
[a1,a2,a3,a4,a6] |
Generators |
[532014:147490961:8] |
Generators of the group modulo torsion |
j |
84946783689490628882159/61950643243000528896 |
j-invariant |
L |
7.0140056777793 |
L(r)(E,1)/r! |
Ω |
0.020525157675673 |
Real period |
R |
3.1641411989639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914g1 |
Quadratic twists by: 29 |