Atkin-Lehner |
2+ 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8690d |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
116959335680 = 28 · 5 · 114 · 792 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6627,-209779] |
[a1,a2,a3,a4,a6] |
Generators |
[1910:82469:1] |
Generators of the group modulo torsion |
j |
32194153981285561/116959335680 |
j-invariant |
L |
4.6783747681407 |
L(r)(E,1)/r! |
Ω |
0.52924487796255 |
Real period |
R |
2.2099291665095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69520bc2 78210ba2 43450u2 95590t2 |
Quadratic twists by: -4 -3 5 -11 |