Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5640h |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-13536000 = -1 · 28 · 32 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6065,-183837] |
[a1,a2,a3,a4,a6] |
j |
-96393503896576/52875 |
j-invariant |
L |
3.2459148470479 |
L(r)(E,1)/r! |
Ω |
0.27049290392066 |
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 |
11280e1 45120b1 16920f1 28200c1 |
Quadratic twists by: -4 8 -3 5 |