Atkin-Lehner |
2+ 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290f |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
175694400 = 26 · 33 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,1908] |
[a1,a2,a3,a4,a6] |
Generators |
[444:-1202:27] [-12:66:1] |
Generators of the group modulo torsion |
j |
104287581243/6507200 |
j-invariant |
L |
7.2245811195711 |
L(r)(E,1)/r! |
Ω |
1.774381746499 |
Real period |
R |
1.017901183585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bo1 |
Quadratic twists by: -3 |