Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600dh |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-21695389920000 = -1 · 28 · 39 · 54 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177933,28830663] |
[a1,a2,a3,a4,a6] |
Generators |
[-3606:-33615:8] [-21:5706:1] |
Generators of the group modulo torsion |
j |
-3893818226483200/135596187 |
j-invariant |
L |
12.609270313386 |
L(r)(E,1)/r! |
Ω |
0.63533186553319 |
Real period |
R |
0.18376616890203 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900i1 99600ca1 |
Quadratic twists by: -4 5 |