Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472g |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
224068255285248 = 216 · 35 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19927457,-34232741727] |
[a1,a2,a3,a4,a6] |
j |
13353633277691465771428/3419010243 |
j-invariant |
L |
2.5724034530131 |
L(r)(E,1)/r! |
Ω |
0.071455651405276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cm4 8184g3 |
Quadratic twists by: -4 8 |