Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496bd |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1937900630016 = -1 · 212 · 39 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-68110] |
[a1,a2,a3,a4,a6] |
Generators |
[97:864:1] |
Generators of the group modulo torsion |
j |
-38272753/648999 |
j-invariant |
L |
4.3569340863808 |
L(r)(E,1)/r! |
Ω |
0.35712879764433 |
Real period |
R |
1.5249869632382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5031d1 26832k1 |
Quadratic twists by: -4 -3 |