Atkin-Lehner |
2- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21200l |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
132500000000 = 28 · 510 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 -1 -2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23333,-1379537] |
[a1,a2,a3,a4,a6] |
j |
561971200/53 |
j-invariant |
L |
0.77256994988417 |
L(r)(E,1)/r! |
Ω |
0.38628497494209 |
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 |
5300c1 84800ce1 21200z1 |
Quadratic twists by: -4 8 5 |