Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ny |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
25719120000000 = 210 · 38 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-661800,207223000] |
[a1,a2,a3,a4,a6] |
Generators |
[465:175:1] [65:12825:1] |
Generators of the group modulo torsion |
j |
2748251600896/2205 |
j-invariant |
L |
11.505015579432 |
L(r)(E,1)/r! |
Ω |
0.55793978758218 |
Real period |
R |
2.5775665752569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ea1 25200bs1 33600gu1 20160ew1 |
Quadratic twists by: -4 8 -3 5 |