Atkin-Lehner |
2+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14570a |
Isogeny class |
Conductor |
14570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-1029924160 = -1 · 26 · 5 · 31 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 2 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,252,272] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
1758853833911/1029924160 |
j-invariant |
L |
5.2252868865215 |
L(r)(E,1)/r! |
Ω |
0.94373273684184 |
Real period |
R |
2.7684145534718 |
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 |
116560q1 72850m1 |
Quadratic twists by: -4 5 |