Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520cb |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1669068780328714240 = -1 · 220 · 5 · 712 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148,-62157744] |
[a1,a2,a3,a4,a6] |
j |
1367631/6366992112460 |
j-invariant |
L |
1.9525903644059 |
L(r)(E,1)/r! |
Ω |
0.12203689780704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520be3 12880m4 |
Quadratic twists by: -4 8 |