Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675t |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8926548046875 = -1 · 312 · 58 · 43 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 -1 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4050075,3137203656] |
[a1,a2,a3,a4,a6] |
Generators |
[1160:112:1] |
Generators of the group modulo torsion |
j |
-645008376471556096/783675 |
j-invariant |
L |
1.5285689704211 |
L(r)(E,1)/r! |
Ω |
0.46470709690769 |
Real period |
R |
0.82232925889913 |
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 |
3225h1 1935g1 |
Quadratic twists by: -3 5 |