Atkin-Lehner |
3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877k |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.992306718606E+21 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7229867,7170058160] |
[a1,a2,a3,a4,a6] |
Generators |
[6602:336087:8] [470:62254:1] |
Generators of the group modulo torsion |
j |
888368377329123328/42348164733189 |
j-invariant |
L |
7.2988161219926 |
L(r)(E,1)/r! |
Ω |
0.14571180000906 |
Real period |
R |
0.69570512559739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783f2 |
Quadratic twists by: -19 |