Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9520n |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-873463808000 = -1 · 223 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14320,-665900] |
[a1,a2,a3,a4,a6] |
j |
-79290863149681/213248000 |
j-invariant |
L |
2.6181381664516 |
L(r)(E,1)/r! |
Ω |
0.21817818053763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1190f1 38080bh1 85680er1 47600t1 |
Quadratic twists by: -4 8 -3 5 |