Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775u |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-351682539140625 = -1 · 3 · 57 · 7 · 118 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6374,881273] |
[a1,a2,a3,a4,a6] |
j |
1833318007919/22507682505 |
j-invariant |
L |
3.1840643783056 |
L(r)(E,1)/r! |
Ω |
0.3980080472882 |
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 |
92400dk3 17325y4 1155e4 40425w3 |
Quadratic twists by: -4 -3 5 -7 |