Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824ck |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
424027702224 = 24 · 37 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1956,11275] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:126:1] |
Generators of the group modulo torsion |
j |
70954958848/36353541 |
j-invariant |
L |
5.9942322110143 |
L(r)(E,1)/r! |
Ω |
0.83200136813163 |
Real period |
R |
1.2007656952324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25956g1 34608bg1 |
Quadratic twists by: -4 -3 |