Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675p |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1.0829053412903E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 -5 -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3775575,-2867770719] |
[a1,a2,a3,a4,a6] |
Generators |
[6053867530:-266880916399:1815848] |
Generators of the group modulo torsion |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
8.3058964751833 |
L(r)(E,1)/r! |
Ω |
0.05409474391648 |
Real period |
R |
12.79529191722 |
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 |
3225i1 1935i1 |
Quadratic twists by: -3 5 |