Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550bz |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
279072 |
Modular degree for the optimal curve |
Δ |
30683627520000 = 219 · 3 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8600,148800] |
[a1,a2,a3,a4,a6] |
j |
46884122425/20447232 |
j-invariant |
L |
1.7839266535407 |
L(r)(E,1)/r! |
Ω |
0.59464227009987 |
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 |
95550jb1 95550fr1 |
Quadratic twists by: 5 -7 |