Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944d |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
-1776462192 = -1 · 24 · 36 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -5 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,17395] |
[a1,a2,a3,a4,a6] |
j |
-19102326016/152303 |
j-invariant |
L |
2.9926650888384 |
L(r)(E,1)/r! |
Ω |
1.4963325444225 |
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 |
75888i1 4216e1 |
Quadratic twists by: -4 -3 |