Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bf |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-741215053376 = -1 · 26 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -3 0 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,42062] |
[a1,a2,a3,a4,a6] |
Generators |
[439645:26076308:125] |
Generators of the group modulo torsion |
j |
-3136/41 |
j-invariant |
L |
8.696624495577 |
L(r)(E,1)/r! |
Ω |
0.76353712732167 |
Real period |
R |
11.389916793442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bk1 64288r1 128576e1 |
Quadratic twists by: -4 8 -7 |