Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700g |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
2254732301250000 = 24 · 36 · 57 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54300,4301125] |
[a1,a2,a3,a4,a6] |
Generators |
[1570:8775:8] |
Generators of the group modulo torsion |
j |
97152876544/12371645 |
j-invariant |
L |
8.3587265345558 |
L(r)(E,1)/r! |
Ω |
0.4449671180062 |
Real period |
R |
2.3481304226692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999037332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14300g1 25740g1 |
Quadratic twists by: -3 5 |