Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320z |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-7.9278370214192E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17988321,51931146879] |
[a1,a2,a3,a4,a6] |
j |
-2455589123241289310521/3024229820792832000 |
j-invariant |
L |
2.5910814020502 |
L(r)(E,1)/r! |
Ω |
0.080971293822372 |
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 |
64320by1 2010c1 |
Quadratic twists by: -4 8 |