Atkin-Lehner |
2- 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
13390g |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
18103280000 = 27 · 54 · 133 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -1 13- -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-741,4225] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:91:1] [-22:111:1] |
Generators of the group modulo torsion |
j |
45000254125009/18103280000 |
j-invariant |
L |
6.314860307121 |
L(r)(E,1)/r! |
Ω |
1.1136471271309 |
Real period |
R |
0.13501028572988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107120j1 120510t1 66950d1 |
Quadratic twists by: -4 -3 5 |