Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080y |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
50145420902400 = 226 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9228,-18448] |
[a1,a2,a3,a4,a6] |
j |
454756609/262400 |
j-invariant |
L |
2.125359849203 |
L(r)(E,1)/r! |
Ω |
0.53133995760047 |
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 |
118080dz1 3690j1 13120s1 |
Quadratic twists by: -4 8 -3 |