Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1482f |
Isogeny class |
Conductor |
1482 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-38520144 = -1 · 24 · 33 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8,-298] |
[a1,a2,a3,a4,a6] |
j |
67419143/38520144 |
j-invariant |
L |
1.9153648957697 |
L(r)(E,1)/r! |
Ω |
0.95768244788484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11856u1 47424j1 4446v1 37050bm1 |
Quadratic twists by: -4 8 -3 5 |