Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240i |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-656541876800000 = -1 · 29 · 55 · 177 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 0 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18400,778748] |
[a1,a2,a3,a4,a6] |
j |
55742968/53125 |
j-invariant |
L |
3.3552181141587 |
L(r)(E,1)/r! |
Ω |
0.33552181145803 |
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 |
46240ba1 92480j1 2720b1 |
Quadratic twists by: -4 8 17 |