Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846bh |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
59112825408 = 26 · 38 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1094,-7275] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:75:1] |
Generators of the group modulo torsion |
j |
198461344537/81087552 |
j-invariant |
L |
9.7473649884166 |
L(r)(E,1)/r! |
Ω |
0.86042370961952 |
Real period |
R |
0.94404699291768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282a1 |
Quadratic twists by: -3 |