Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680c |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1793550581760 = 217 · 3 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18401,-952479] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:44:1] |
Generators of the group modulo torsion |
j |
5257286722802/13683705 |
j-invariant |
L |
4.8146436219944 |
L(r)(E,1)/r! |
Ω |
0.40997291577239 |
Real period |
R |
2.9359523081868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999240404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fp4 15960j3 |
Quadratic twists by: -4 8 |