Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402r |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
59048349288768 = 26 · 37 · 72 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-274553834,1751081685225] |
[a1,a2,a3,a4,a6] |
Generators |
[8823:119943:1] |
Generators of the group modulo torsion |
j |
3139631810506589822534551897/80999107392 |
j-invariant |
L |
11.650055098399 |
L(r)(E,1)/r! |
Ω |
0.22546698450034 |
Real period |
R |
4.3058983869972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134b2 |
Quadratic twists by: -3 |