Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bs |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
453299490000 = 24 · 39 · 54 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264438,52340013] |
[a1,a2,a3,a4,a6] |
j |
6493577505527808/1439375 |
j-invariant |
L |
2.9794471439138 |
L(r)(E,1)/r! |
Ω |
0.74486171874252 |
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 |
118440m1 |
Quadratic twists by: -3 |