Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840p |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
126358036560 = 24 · 38 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73758,7710113] |
[a1,a2,a3,a4,a6] |
Generators |
[136:441:1] |
Generators of the group modulo torsion |
j |
3804552637966336/10833165 |
j-invariant |
L |
5.9438406532916 |
L(r)(E,1)/r! |
Ω |
0.90724179577942 |
Real period |
R |
1.6378876835632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680n1 14280bo1 |
Quadratic twists by: -4 -3 |