Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
24772608000 = 220 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:60:1] |
Generators of the group modulo torsion |
j |
59319/28 |
j-invariant |
L |
5.6803363358309 |
L(r)(E,1)/r! |
Ω |
1.0667564779616 |
Real period |
R |
1.3312167407296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800cs1 25200dg1 100800kj1 100800kw1 |
Quadratic twists by: -4 8 -3 5 |