Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696d |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8344644833378304 = 217 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686796,219029360] |
[a1,a2,a3,a4,a6] |
Generators |
[75746:7343127:8] |
Generators of the group modulo torsion |
j |
4293378 |
j-invariant |
L |
5.1467450562865 |
L(r)(E,1)/r! |
Ω |
0.40311264582679 |
Real period |
R |
6.3837553969653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696dw2 8712a2 69696b2 69696c2 |
Quadratic twists by: -4 8 -3 -11 |