Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85782m |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
471785306697792 = 26 · 36 · 17 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-214893,38238819] |
[a1,a2,a3,a4,a6] |
Generators |
[67:4880:1] |
Generators of the group modulo torsion |
j |
1845026709625/793152 |
j-invariant |
L |
9.9378675762144 |
L(r)(E,1)/r! |
Ω |
0.51735927945788 |
Real period |
R |
3.2014720279703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102c1 |
Quadratic twists by: 29 |