Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45486s |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
-1368757389339131904 = -1 · 222 · 317 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-486990,142525012] |
[a1,a2,a3,a4,a6] |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
2.1078979379731 |
L(r)(E,1)/r! |
Ω |
0.26348724221295 |
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 |
15162v1 45486bl1 |
Quadratic twists by: -3 -19 |