Atkin-Lehner |
3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2205k |
Isogeny class |
Conductor |
2205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
945571484025 = 38 · 52 · 78 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,-55884] |
[a1,a2,a3,a4,a6] |
j |
47045881/11025 |
j-invariant |
L |
1.2795104421584 |
L(r)(E,1)/r! |
Ω |
0.63975522107919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280ff2 735a2 11025x2 315b2 |
Quadratic twists by: -4 -3 5 -7 |