Atkin-Lehner |
2+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576j |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-3225714688 = -1 · 215 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4769,-125215] |
[a1,a2,a3,a4,a6] |
j |
-152494664/41 |
j-invariant |
L |
1.1489690644348 |
L(r)(E,1)/r! |
Ω |
0.28724212774606 |
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 |
128576l1 64288b1 128576z1 |
Quadratic twists by: -4 8 -7 |