Atkin-Lehner |
2- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64240h |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-150064640000000 = -1 · 215 · 57 · 11 · 732 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 11+ -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17803,1087802] |
[a1,a2,a3,a4,a6] |
j |
-152350309096929/36636875000 |
j-invariant |
L |
4.4114050046765 |
L(r)(E,1)/r! |
Ω |
0.55142562393426 |
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 |
8030h1 |
Quadratic twists by: -4 |