Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200be |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1515520000000 = -1 · 219 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85633,9616863] |
[a1,a2,a3,a4,a6] |
Generators |
[4521:800:27] [98:1475:1] |
Generators of the group modulo torsion |
j |
-16954786009/370 |
j-invariant |
L |
6.9673529274479 |
L(r)(E,1)/r! |
Ω |
0.78354707082258 |
Real period |
R |
0.55575417761184 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200cy1 1850h1 11840k1 |
Quadratic twists by: -4 8 5 |