Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096a |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
139377494043648 = 210 · 37 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2285768,1330898976] |
[a1,a2,a3,a4,a6] |
j |
10963069081334500/1156923 |
j-invariant |
L |
0.89782373966894 |
L(r)(E,1)/r! |
Ω |
0.44891186996473 |
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 |
27048i2 1104b2 |
Quadratic twists by: -4 -7 |