Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14322j |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
34029072 = 24 · 34 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-559,5033] |
[a1,a2,a3,a4,a6] |
j |
19320025351537/34029072 |
j-invariant |
L |
4.1408840248596 |
L(r)(E,1)/r! |
Ω |
2.0704420124298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114576bi1 42966h1 100254bw1 |
Quadratic twists by: -4 -3 -7 |