Atkin-Lehner |
2- 3+ 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
44622c |
Isogeny class |
Conductor |
44622 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3627197679449114928 = 24 · 39 · 376 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10314164,12751925095] |
[a1,a2,a3,a4,a6] |
j |
6165019832080365090171/184280733600016 |
j-invariant |
L |
1.8584124297301 |
L(r)(E,1)/r! |
Ω |
0.23230155376148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44622a2 |
Quadratic twists by: -3 |