Atkin-Lehner |
2- 3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28380c |
Isogeny class |
Conductor |
28380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5150970000 = 24 · 32 · 54 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-470,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:55:1] [-10:75:1] |
Generators of the group modulo torsion |
j |
719152519936/321935625 |
j-invariant |
L |
7.0651792863958 |
L(r)(E,1)/r! |
Ω |
1.2235501621067 |
Real period |
R |
0.080198992348524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520bq1 85140f1 |
Quadratic twists by: -4 -3 |