Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bs |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
120689141357740032 = 221 · 36 · 76 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-920705,339858065] |
[a1,a2,a3,a4,a6] |
Generators |
[-545:26340:1] |
Generators of the group modulo torsion |
j |
118401511488183015625/165554377719808 |
j-invariant |
L |
11.260043821548 |
L(r)(E,1)/r! |
Ω |
0.33066774166441 |
Real period |
R |
2.4323172271766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984383 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9394c2 |
Quadratic twists by: -3 |