Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204a |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
30891555744208848 = 24 · 32 · 137 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313213,-66833222] |
[a1,a2,a3,a4,a6] |
j |
44001181696000/399999717 |
j-invariant |
L |
0.80767710952834 |
L(r)(E,1)/r! |
Ω |
0.20191926220766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6708d1 |
Quadratic twists by: 13 |