Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920y |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1407620999424245760 = 220 · 320 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604385,-171403935] |
[a1,a2,a3,a4,a6] |
j |
93137706732176569/5369647977540 |
j-invariant |
L |
1.3747426227913 |
L(r)(E,1)/r! |
Ω |
0.17184283000031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ii3 2310f3 |
Quadratic twists by: -4 8 |