Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381h |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
667192309327341 = 36 · 73 · 193 · 733 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-349536,79530363] |
[a1,a2,a3,a4,a6] |
Generators |
[393:1691:1] |
Generators of the group modulo torsion |
j |
6478462059846565888/915215787829 |
j-invariant |
L |
7.6456412105575 |
L(r)(E,1)/r! |
Ω |
0.49289054272914 |
Real period |
R |
5.1706146693055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983858 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9709b2 |
Quadratic twists by: -3 |