Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840b |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1070571600 = 24 · 33 · 52 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258,257] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:17:1] [-11:42:1] |
Generators of the group modulo torsion |
j |
4396419072/2478175 |
j-invariant |
L |
8.6901943459999 |
L(r)(E,1)/r! |
Ω |
1.3389426973356 |
Real period |
R |
0.5408617288908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680a1 42840bi1 |
Quadratic twists by: -4 -3 |