Atkin-Lehner |
2- 3- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bo |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
5603328 |
Modular degree for the optimal curve |
Δ |
3886562248165819152 = 24 · 37 · 78 · 193 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10866461,13789723925] |
[a1,a2,a3,a4,a6] |
Generators |
[15414:5645:8] |
Generators of the group modulo torsion |
j |
194652740854220036281993/5331361108595088 |
j-invariant |
L |
9.1029251161753 |
L(r)(E,1)/r! |
Ω |
0.23044881795816 |
Real period |
R |
2.4688034031159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998900015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42294k1 |
Quadratic twists by: -3 |