Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192d |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
95594989056 = 29 · 3 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1192,5860] |
[a1,a2,a3,a4,a6] |
j |
3112136/1587 |
j-invariant |
L |
1.885422683959 |
L(r)(E,1)/r! |
Ω |
0.94271170766054 |
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 |
108192cb2 2208e2 |
Quadratic twists by: -4 -7 |