Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486y |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
18921476971152 = 24 · 33 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19562,-1027175] |
[a1,a2,a3,a4,a6] |
j |
651714363/14896 |
j-invariant |
L |
3.2340174783851 |
L(r)(E,1)/r! |
Ω |
0.40425218482632 |
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 |
45486c1 2394c1 |
Quadratic twists by: -3 -19 |