Atkin-Lehner |
2+ 3+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450m |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7649280 |
Modular degree for the optimal curve |
Δ |
1569601152000000000 = 216 · 39 · 59 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31922950,69409556500] |
[a1,a2,a3,a4,a6] |
j |
1842055654145370850997/803635789824 |
j-invariant |
L |
0.87147858185583 |
L(r)(E,1)/r! |
Ω |
0.21786966687247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93450dd1 |
Quadratic twists by: 5 |