Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486t |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
6083046709978685328 = 24 · 311 · 74 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-524781,-85481771] |
[a1,a2,a3,a4,a6] |
j |
466025146777/177366672 |
j-invariant |
L |
2.9304538172537 |
L(r)(E,1)/r! |
Ω |
0.18315336356721 |
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 |
15162w1 2394m1 |
Quadratic twists by: -3 -19 |