Atkin-Lehner |
2+ 3+ 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774d |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269708478732 = 22 · 33 · 72 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3582,79544] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:388:1] [-20:388:1] |
Generators of the group modulo torsion |
j |
188280303730875/9989202916 |
j-invariant |
L |
8.3846408400813 |
L(r)(E,1)/r! |
Ω |
0.96602086478516 |
Real period |
R |
1.0849456189102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bo2 |
Quadratic twists by: -3 |