Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555b |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18648 |
Modular degree for the optimal curve |
Δ |
-12393601549875 = -1 · 33 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3201,184232] |
[a1,a2,a3,a4,a6] |
j |
-12845056/43875 |
j-invariant |
L |
0.62394974756647 |
L(r)(E,1)/r! |
Ω |
0.62394974756647 |
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 |
28665bl1 47775cn1 9555s1 124215x1 |
Quadratic twists by: -3 5 -7 13 |