Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822i |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
56919354827328 = 26 · 312 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94095,11127213] |
[a1,a2,a3,a4,a6] |
j |
126385840161166321/78078676032 |
j-invariant |
L |
2.4810695757378 |
L(r)(E,1)/r! |
Ω |
0.6202673597744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274bo1 |
Quadratic twists by: -3 |