Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848k |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139200 |
Modular degree for the optimal curve |
Δ |
-39818423757104 = -1 · 24 · 597 |
Discriminant |
Eigenvalues |
2- -3 -1 3 4 -6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6962,-205379] |
[a1,a2,a3,a4,a6] |
Generators |
[354:3481:8] |
Generators of the group modulo torsion |
j |
55296/59 |
j-invariant |
L |
2.7249806301911 |
L(r)(E,1)/r! |
Ω |
0.34965816289596 |
Real period |
R |
0.97415880685512 |
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 |
55696j1 472a1 |
Quadratic twists by: -4 -59 |