Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200du |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
4256000000000 = 214 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4208,-33088] |
[a1,a2,a3,a4,a6] |
j |
1030301/532 |
j-invariant |
L |
1.2538124002056 |
L(r)(E,1)/r! |
Ω |
0.62690619981943 |
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 |
6650bd1 53200di1 |
Quadratic twists by: -4 5 |