Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294l |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1580807628331872192 = 26 · 32 · 73 · 192 · 536 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-994766,-377143360] |
[a1,a2,a3,a4,a6] |
j |
108864400165307854593625/1580807628331872192 |
j-invariant |
L |
1.8156516429581 |
L(r)(E,1)/r! |
Ω |
0.15130430359649 |
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 |
126882br4 |
Quadratic twists by: -3 |