Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576bb |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
1106420137984 = 215 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -2 -4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,71344] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:392:1] [-28:392:1] |
Generators of the group modulo torsion |
j |
1481544/287 |
j-invariant |
L |
4.859392098835 |
L(r)(E,1)/r! |
Ω |
0.82637938807054 |
Real period |
R |
0.36752127498991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576ba1 64288f1 18368f1 |
Quadratic twists by: -4 8 -7 |