Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1482b |
Isogeny class |
Conductor |
1482 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-661429053732096 = -1 · 28 · 321 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11856,1138176] |
[a1,a2,a3,a4,a6] |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
0.72587083102694 |
L(r)(E,1)/r! |
Ω |
0.36293541551347 |
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 |
11856bh1 47424bv1 4446r1 37050cl1 |
Quadratic twists by: -4 8 -3 5 |