Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640i |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-163498496000 = -1 · 212 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1024,-14476] |
[a1,a2,a3,a4,a6] |
j |
28962726911/39916625 |
j-invariant |
L |
1.0866063073366 |
L(r)(E,1)/r! |
Ω |
0.54330315366831 |
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 |
665a1 42560db1 95760eo1 53200ch1 |
Quadratic twists by: -4 8 -3 5 |