Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100j |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-31137968750000 = -1 · 24 · 510 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-268912] |
[a1,a2,a3,a4,a6] |
j |
-409600/199283 |
j-invariant |
L |
3.5540068330754 |
L(r)(E,1)/r! |
Ω |
0.29616723610877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58100n1 |
Quadratic twists by: 5 |