Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cn |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-263323648 = -1 · 217 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[18:48:1] [29:139:1] |
Generators of the group modulo torsion |
j |
-47250/41 |
j-invariant |
L |
11.713128609902 |
L(r)(E,1)/r! |
Ω |
0.66960863654368 |
Real period |
R |
4.3731248272528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bc1 32144e1 128576bx1 |
Quadratic twists by: -4 8 -7 |