Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484n |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-20636928 = -1 · 28 · 32 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[7:12:1] [8:18:1] |
Generators of the group modulo torsion |
j |
-208/477 |
j-invariant |
L |
10.545486284694 |
L(r)(E,1)/r! |
Ω |
0.97742777282215 |
Real period |
R |
1.7981697432617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484l1 |
Quadratic twists by: 13 |