Atkin-Lehner |
3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9633b |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-14825187 = -1 · 35 · 132 · 192 |
Discriminant |
Eigenvalues |
2 3+ 2 -3 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,48,119] |
[a1,a2,a3,a4,a6] |
Generators |
[74:281:8] |
Generators of the group modulo torsion |
j |
70873088/87723 |
j-invariant |
L |
7.6602477958721 |
L(r)(E,1)/r! |
Ω |
1.4867718592016 |
Real period |
R |
2.5761342429448 |
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 |
28899f1 9633e1 |
Quadratic twists by: -3 13 |