Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400j |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-587500000000 = -1 · 28 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2633,64637] |
[a1,a2,a3,a4,a6] |
j |
-504871936/146875 |
j-invariant |
L |
3.4807897369636 |
L(r)(E,1)/r! |
Ω |
0.87019743424091 |
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 |
18800f1 75200m1 84600p1 1880b1 |
Quadratic twists by: -4 8 -3 5 |