Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696k |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
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] |
j |
4406910829875/7744 |
j-invariant |
L |
1.4392306187442 |
L(r)(E,1)/r! |
Ω |
0.089951913190606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696ee2 2178a2 69696l4 6336g2 |
Quadratic twists by: -4 8 -3 -11 |