Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633l |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-66072747 = -1 · 3 · 132 · 194 |
Discriminant |
Eigenvalues |
0 3- 2 -3 6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-147,-841] |
[a1,a2,a3,a4,a6] |
Generators |
[47:313:1] |
Generators of the group modulo torsion |
j |
-2092859392/390963 |
j-invariant |
L |
4.8579463746471 |
L(r)(E,1)/r! |
Ω |
0.67829305995057 |
Real period |
R |
1.7905042309445 |
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 |
28899j1 9633g1 |
Quadratic twists by: -3 13 |