Atkin-Lehner |
2+ 3- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
47064c |
Isogeny class |
Conductor |
47064 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-4012111872 = -1 · 211 · 33 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 3 2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,392,752] |
[a1,a2,a3,a4,a6] |
j |
3244468750/1959039 |
j-invariant |
L |
5.1218525883776 |
L(r)(E,1)/r! |
Ω |
0.85364209800304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94128c1 |
Quadratic twists by: -4 |