Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bc |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
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 |
[8:20:1] |
Generators of the group modulo torsion |
j |
-47250/41 |
j-invariant |
L |
6.145900800638 |
L(r)(E,1)/r! |
Ω |
1.5968134906049 |
Real period |
R |
1.924426617475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cn1 16072d1 128576a1 |
Quadratic twists by: -4 8 -7 |