Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cz |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
77594624000000000 = 230 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120033,8791937] |
[a1,a2,a3,a4,a6] |
Generators |
[801423:25298000:729] |
Generators of the group modulo torsion |
j |
46694890801/18944000 |
j-invariant |
L |
9.9520538525075 |
L(r)(E,1)/r! |
Ω |
0.31170426731366 |
Real period |
R |
7.9819679227954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bf1 14800q1 11840z1 |
Quadratic twists by: -4 8 5 |