Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36252f |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
441135652176 = 24 · 33 · 193 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-556056,159597433] |
[a1,a2,a3,a4,a6] |
j |
44014478356230045696/1021147343 |
j-invariant |
L |
4.0881268251035 |
L(r)(E,1)/r! |
Ω |
0.68135447085037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36252c2 |
Quadratic twists by: -3 |