Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592o |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
3186541264896 = 216 · 34 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64830337,200938078465] |
[a1,a2,a3,a4,a6] |
j |
459810226079738871007108/48622761 |
j-invariant |
L |
2.4919638593196 |
L(r)(E,1)/r! |
Ω |
0.31149548897612 |
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 |
86592cv1 10824e1 |
Quadratic twists by: -4 8 |