Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
25956a |
Isogeny class |
Conductor |
25956 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1589441616 = 24 · 39 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864,9585] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:135:1] |
Generators of the group modulo torsion |
j |
226492416/5047 |
j-invariant |
L |
6.6849922688426 |
L(r)(E,1)/r! |
Ω |
1.5009116048835 |
Real period |
R |
1.4846515604454 |
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 |
103824bg1 25956b1 |
Quadratic twists by: -4 -3 |