Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800cm |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3416670208000 = 217 · 53 · 7 · 313 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -3 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17755,906250] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:992:1] [55:-310:1] |
Generators of the group modulo torsion |
j |
1208970715077/6673184 |
j-invariant |
L |
6.145181599183 |
L(r)(E,1)/r! |
Ω |
0.79694637185262 |
Real period |
R |
0.32128790887109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850bb1 86800cs1 |
Quadratic twists by: -4 5 |