Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675n |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-783675 = -1 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,76] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
-121945/43 |
j-invariant |
L |
5.8080511932276 |
L(r)(E,1)/r! |
Ω |
2.6705570312744 |
Real period |
R |
1.0874231714977 |
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 |
1075c1 9675v1 |
Quadratic twists by: -3 5 |