Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9405d |
Isogeny class |
Conductor |
9405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25856 |
Modular degree for the optimal curve |
Δ |
-2204296875 = -1 · 33 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 11- -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44367,3596982] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-8:1] |
Generators of the group modulo torsion |
j |
-357717460495822848/81640625 |
j-invariant |
L |
2.8078446890467 |
L(r)(E,1)/r! |
Ω |
1.162307365091 |
Real period |
R |
0.15098441112578 |
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 |
9405a1 47025e1 103455h1 |
Quadratic twists by: -3 5 -11 |