Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576ca |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
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] |
j |
373698304/1681 |
j-invariant |
L |
1.4237159280805 |
L(r)(E,1)/r! |
Ω |
0.71185735564077 |
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 |
128576c1 32144j1 128576cs1 |
Quadratic twists by: -4 8 -7 |