Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576n |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
130169222813679616 = 215 · 713 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 -6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128641,-3793217] |
[a1,a2,a3,a4,a6] |
j |
61069889672/33765263 |
j-invariant |
L |
2.159526731968 |
L(r)(E,1)/r! |
Ω |
0.26994077857259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576s1 64288d1 18368e1 |
Quadratic twists by: -4 8 -7 |