Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680n |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
798806937600 = 212 · 32 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2441,-16695] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:168:1] |
Generators of the group modulo torsion |
j |
392866508224/195021225 |
j-invariant |
L |
5.6186375839589 |
L(r)(E,1)/r! |
Ω |
0.71483310961125 |
Real period |
R |
0.9825086123503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016244 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680bw2 63840bz1 |
Quadratic twists by: -4 8 |