Atkin-Lehner |
3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075d |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1559765625 = 3 · 58 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-338,-1594] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:13:1] |
Generators of the group modulo torsion |
j |
205379/75 |
j-invariant |
L |
2.0571634351693 |
L(r)(E,1)/r! |
Ω |
1.1474741235344 |
Real period |
R |
1.7927754473739 |
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 |
27225bc1 1815b1 9075b1 |
Quadratic twists by: -3 5 -11 |