Atkin-Lehner |
2+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650f |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-38605388800 = -1 · 210 · 52 · 114 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 11- -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1376,21678] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:147:1] [-7:-173:1] |
Generators of the group modulo torsion |
j |
-11512912950625/1544215552 |
j-invariant |
L |
4.7699705627116 |
L(r)(E,1)/r! |
Ω |
1.1156929470176 |
Real period |
R |
0.53441793455202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650bf1 |
Quadratic twists by: 5 |