Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13320n |
Isogeny class |
Conductor |
13320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25548825600 = -1 · 210 · 36 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-8138] |
[a1,a2,a3,a4,a6] |
j |
-7086244/34225 |
j-invariant |
L |
1.9782467734345 |
L(r)(E,1)/r! |
Ω |
0.49456169335863 |
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 |
26640j2 106560cq2 1480c2 66600o2 |
Quadratic twists by: -4 8 -3 5 |