Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555t |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
552 |
Modular degree for the optimal curve |
Δ |
-9555 = -1 · 3 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 1 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5,4] |
[a1,a2,a3,a4,a6] |
j |
229376/195 |
j-invariant |
L |
2.6538383385428 |
L(r)(E,1)/r! |
Ω |
2.6538383385428 |
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 |
28665w1 47775m1 9555a1 124215bz1 |
Quadratic twists by: -3 5 -7 13 |