Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14840a |
Isogeny class |
Conductor |
14840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
254464 |
Modular degree for the optimal curve |
Δ |
-3.6838941345288E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1100456,-531334244] |
[a1,a2,a3,a4,a6] |
Generators |
[2058:76916:1] |
Generators of the group modulo torsion |
j |
-143926975147038505636/35975528657508125 |
j-invariant |
L |
3.4239377574743 |
L(r)(E,1)/r! |
Ω |
0.072744721258514 |
Real period |
R |
5.8834814716428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29680c1 118720h1 74200r1 103880j1 |
Quadratic twists by: -4 8 5 -7 |