Atkin-Lehner |
3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075j |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-3321676875 = -1 · 3 · 54 · 116 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 11- -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,12968] |
[a1,a2,a3,a4,a6] |
Generators |
[26:60:1] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
2.1091839629295 |
L(r)(E,1)/r! |
Ω |
1.4079170976161 |
Real period |
R |
0.74904409020275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27225ca1 9075n2 75a1 |
Quadratic twists by: -3 5 -11 |