Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bv |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-194305078952198144 = -1 · 224 · 710 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 5 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-643468,-199801616] |
[a1,a2,a3,a4,a6] |
Generators |
[105068470:22973760256:2197] |
Generators of the group modulo torsion |
j |
-397909449/2624 |
j-invariant |
L |
4.312104972206 |
L(r)(E,1)/r! |
Ω |
0.08424937677869 |
Real period |
R |
12.795657817893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000430607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576dd1 4018j1 128576g1 |
Quadratic twists by: -4 8 -7 |