Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cc |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-819623091397869360 = -1 · 24 · 316 · 5 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58049,43204456] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:5811:1] |
Generators of the group modulo torsion |
j |
11491910518784/435417582915 |
j-invariant |
L |
5.0972685152288 |
L(r)(E,1)/r! |
Ω |
0.21349365129409 |
Real period |
R |
5.9688760090876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bz1 |
Quadratic twists by: -7 |