Atkin-Lehner |
3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65403l |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-151305981723 = -1 · 36 · 136 · 43 |
Discriminant |
Eigenvalues |
-2 3- -4 0 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-507,-19224] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
0.87313553097114 |
L(r)(E,1)/r! |
Ω |
0.43656776784237 |
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 |
7267a1 387e1 |
Quadratic twists by: -3 13 |