Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dt |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4035488808960 = 215 · 33 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40801,3184321] |
[a1,a2,a3,a4,a6] |
Generators |
[135:344:1] |
Generators of the group modulo torsion |
j |
229243401374408/123153345 |
j-invariant |
L |
5.4418421817085 |
L(r)(E,1)/r! |
Ω |
0.77183764426956 |
Real period |
R |
3.5252505306473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680fc4 63840y4 |
Quadratic twists by: -4 8 |