Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194u |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
493345640741050944 = 26 · 311 · 7 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151541433,-717996427475] |
[a1,a2,a3,a4,a6] |
j |
527947034161117389617714833/676742991414336 |
j-invariant |
L |
0.68847264604 |
L(r)(E,1)/r! |
Ω |
0.043029540376371 |
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 |
13398bb4 |
Quadratic twists by: -3 |