Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bc |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
93252096000 = 212 · 32 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1524,-17678] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1842:1] |
Generators of the group modulo torsion |
j |
1140183584623/271872000 |
j-invariant |
L |
5.7035299240737 |
L(r)(E,1)/r! |
Ω |
0.7773803813264 |
Real period |
R |
3.6684292921624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730t1 |
Quadratic twists by: -7 |