Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400bx |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1482933427200000000 = 216 · 32 · 58 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 -7 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296833,21121537] |
[a1,a2,a3,a4,a6] |
j |
112985250820/57927087 |
j-invariant |
L |
1.8960656114322 |
L(r)(E,1)/r! |
Ω |
0.23700821188118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jr1 13800z1 110400ef1 |
Quadratic twists by: -4 8 5 |