Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480cc |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4571632396533760000 = -1 · 220 · 54 · 178 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,230815,93675775] |
[a1,a2,a3,a4,a6] |
j |
214921799/722500 |
j-invariant |
L |
2.7720544981882 |
L(r)(E,1)/r! |
Ω |
0.17325340584959 |
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 |
92480eb2 2890c2 5440c2 |
Quadratic twists by: -4 8 17 |