Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576c |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
4132946944 = 210 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 5 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2025,34271] |
[a1,a2,a3,a4,a6] |
Generators |
[170:287:8] |
Generators of the group modulo torsion |
j |
373698304/1681 |
j-invariant |
L |
9.705767043289 |
L(r)(E,1)/r! |
Ω |
1.3944944417806 |
Real period |
R |
1.1600102344697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576ca1 8036b1 128576bm1 |
Quadratic twists by: -4 8 -7 |