Atkin-Lehner |
3+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805a |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
113156090775 = 39 · 52 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46725,3899186] |
[a1,a2,a3,a4,a6] |
Generators |
[118:76:1] |
Generators of the group modulo torsion |
j |
573172807061763/5748925 |
j-invariant |
L |
4.0120532117991 |
L(r)(E,1)/r! |
Ω |
0.95184678598715 |
Real period |
R |
1.0537549926452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805f2 |
Quadratic twists by: -3 |