Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270d |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
439296 |
Modular degree for the optimal curve |
Δ |
388300781250000 = 24 · 32 · 513 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 5 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21313,722917] |
[a1,a2,a3,a4,a6] |
j |
484722957959161/175781250000 |
j-invariant |
L |
1.9570871492446 |
L(r)(E,1)/r! |
Ω |
0.48927178768121 |
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 |
66270g1 |
Quadratic twists by: -47 |