Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5320b |
Isogeny class |
Conductor |
5320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
283024000000 = 210 · 56 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5563,157638] |
[a1,a2,a3,a4,a6] |
j |
18593062763076/276390625 |
j-invariant |
L |
0.97794509251199 |
L(r)(E,1)/r! |
Ω |
0.97794509251199 |
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 |
10640b2 42560bo2 47880bo2 26600t2 |
Quadratic twists by: -4 8 -3 5 |