Atkin-Lehner |
3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779i |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7784867881972419 = 3 · 72 · 173 · 476 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3849629,2906886294] |
[a1,a2,a3,a4,a6] |
Generators |
[1134:-516:1] |
Generators of the group modulo torsion |
j |
6309287985080793237343057/7784867881972419 |
j-invariant |
L |
2.674232557272 |
L(r)(E,1)/r! |
Ω |
0.35188148896438 |
Real period |
R |
2.5332700934269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337h2 117453g2 |
Quadratic twists by: -3 -7 |