Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600ck |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,24912] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2025:8] [92:950:1] |
Generators of the group modulo torsion |
j |
28098560/60507 |
j-invariant |
L |
9.9685337194623 |
L(r)(E,1)/r! |
Ω |
0.66041543841362 |
Real period |
R |
2.5157229676916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900p1 99600cs1 |
Quadratic twists by: -4 5 |