Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bg |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8781170549760 = 210 · 36 · 5 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2258531523,-41313058536402] |
[a1,a2,a3,a4,a6] |
j |
1706768805632178182685889284/11763185 |
j-invariant |
L |
1.0511973390404 |
L(r)(E,1)/r! |
Ω |
0.02189994456653 |
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 |
95760v4 5320e4 |
Quadratic twists by: -4 -3 |