Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984u |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
424320 |
Modular degree for the optimal curve |
Δ |
-54154074096 = -1 · 24 · 310 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 6 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109342,13952971] |
[a1,a2,a3,a4,a6] |
Generators |
[181:243:1] |
Generators of the group modulo torsion |
j |
-9035844357467054848/3384629631 |
j-invariant |
L |
3.3528688367658 |
L(r)(E,1)/r! |
Ω |
0.90695722415722 |
Real period |
R |
0.92420809590486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15996e1 |
Quadratic twists by: -4 |