Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5320g |
Isogeny class |
Conductor |
5320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
1415120 = 24 · 5 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75,-220] |
[a1,a2,a3,a4,a6] |
j |
2955053056/88445 |
j-invariant |
L |
3.2469669949835 |
L(r)(E,1)/r! |
Ω |
1.6234834974917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10640g1 42560b1 47880l1 26600h1 |
Quadratic twists by: -4 8 -3 5 |