Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97196f |
Isogeny class |
Conductor |
97196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3672866714342144 = -1 · 28 · 113 · 476 |
Discriminant |
Eigenvalues |
2- 1 3 2 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170829,27275423] |
[a1,a2,a3,a4,a6] |
j |
-199794688/1331 |
j-invariant |
L |
5.3457821265424 |
L(r)(E,1)/r! |
Ω |
0.44548185387829 |
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 |
44a2 |
Quadratic twists by: -47 |