Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080dc |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-453427200 = -1 · 214 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192,-32] |
[a1,a2,a3,a4,a6] |
j |
1769472/1025 |
j-invariant |
L |
3.9679765386666 |
L(r)(E,1)/r! |
Ω |
0.99199399798235 |
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 |
118080d1 29520bd1 118080dq1 |
Quadratic twists by: -4 8 -3 |