Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ed |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33188928314572800 = 215 · 33 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221121,-38976255] |
[a1,a2,a3,a4,a6] |
j |
36489314991346568/1012845712725 |
j-invariant |
L |
1.7642829103856 |
L(r)(E,1)/r! |
Ω |
0.220535363482 |
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 |
73920ha4 36960bs3 |
Quadratic twists by: -4 8 |