Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696ee |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
97101321697492992 = 224 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7935180,8603647888] |
[a1,a2,a3,a4,a6] |
Generators |
[37202:7155456:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
7.4811224011582 |
L(r)(E,1)/r! |
Ω |
0.28860956921963 |
Real period |
R |
3.2401569451054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696k2 17424bc2 69696ef4 6336bi2 |
Quadratic twists by: -4 8 -3 -11 |