Atkin-Lehner |
2+ 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216f |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
648333325919232 = 210 · 33 · 193 · 434 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56800,5045444] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1806:1] |
Generators of the group modulo torsion |
j |
19791395091964804/633138013593 |
j-invariant |
L |
6.485899634061 |
L(r)(E,1)/r! |
Ω |
0.50921988544827 |
Real period |
R |
1.0614110949265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19608c1 117648d1 |
Quadratic twists by: -4 -3 |