Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696i |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
379302037880832 = 216 · 33 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36300,2491632] |
[a1,a2,a3,a4,a6] |
j |
1687500/121 |
j-invariant |
L |
2.0984162717926 |
L(r)(E,1)/r! |
Ω |
0.52460406399849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696eg2 8712c2 69696j2 6336d2 |
Quadratic twists by: -4 8 -3 -11 |