Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400iq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30470400000000 = 214 · 32 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15633,-709137] |
[a1,a2,a3,a4,a6] |
j |
1650587344/119025 |
j-invariant |
L |
6.8624282411387 |
L(r)(E,1)/r! |
Ω |
0.42890180756871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400s2 27600j2 22080cd2 |
Quadratic twists by: -4 8 5 |