Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840co |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
26244433026000 = 24 · 38 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9462,-254459] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:95:1] [-58:315:1] |
Generators of the group modulo torsion |
j |
8032024643584/2250037125 |
j-invariant |
L |
9.5642271234826 |
L(r)(E,1)/r! |
Ω |
0.49432535570501 |
Real period |
R |
0.53744557625088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bw1 14280s1 |
Quadratic twists by: -4 -3 |