Atkin-Lehner |
2- 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854m |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
472472268071958 = 2 · 33 · 74 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19842,243993] |
[a1,a2,a3,a4,a6] |
j |
863935691003495713/472472268071958 |
j-invariant |
L |
3.6602523835476 |
L(r)(E,1)/r! |
Ω |
0.45753154794345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832bk3 23562n3 54978cd3 86394d3 |
Quadratic twists by: -4 -3 -7 -11 |