Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84048v |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-31067134834507776 = -1 · 232 · 35 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 4 0 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49640,-7317868] |
[a1,a2,a3,a4,a6] |
j |
3302557089235559/7584749715456 |
j-invariant |
L |
3.8428542600536 |
L(r)(E,1)/r! |
Ω |
0.19214271330041 |
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 |
10506a1 |
Quadratic twists by: -4 |