Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168be |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-9.6358072622745E+18 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-262977,-158199777] |
[a1,a2,a3,a4,a6] |
Generators |
[365357:220839276:1] |
Generators of the group modulo torsion |
j |
-7672532588448337/36757687615488 |
j-invariant |
L |
8.7016798920954 |
L(r)(E,1)/r! |
Ω |
0.095365079032546 |
Real period |
R |
7.6038314901962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168co1 1974e1 |
Quadratic twists by: -4 8 |