Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8712c |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5926594341888 = 210 · 33 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9075,311454] |
[a1,a2,a3,a4,a6] |
j |
1687500/121 |
j-invariant |
L |
2.9676087287308 |
L(r)(E,1)/r! |
Ω |
0.7419021821827 |
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 |
17424e2 69696i2 8712q2 792c2 |
Quadratic twists by: -4 8 -3 -11 |