Atkin-Lehner |
2- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
13390h |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
18182977280000 = 211 · 54 · 13 · 1033 |
Discriminant |
Eigenvalues |
2- 0 5- 3 3 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112522,14554569] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:5211:1] |
Generators of the group modulo torsion |
j |
157555084236760311921/18182977280000 |
j-invariant |
L |
8.1212362702427 |
L(r)(E,1)/r! |
Ω |
0.66274540570719 |
Real period |
R |
0.092832808298622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107120q1 120510j1 66950a1 |
Quadratic twists by: -4 -3 5 |