Atkin-Lehner |
2+ 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984d |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-387693214443504 = -1 · 24 · 39 · 315 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -3 6 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18188,-84365] |
[a1,a2,a3,a4,a6] |
j |
41584806766476032/24230825902719 |
j-invariant |
L |
1.5783672736403 |
L(r)(E,1)/r! |
Ω |
0.31567345315967 |
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 |
31992m1 |
Quadratic twists by: -4 |