Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640b |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
1342459354919760 = 24 · 37 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31291,-1186040] |
[a1,a2,a3,a4,a6] |
Generators |
[-19080:12848:125] |
Generators of the group modulo torsion |
j |
159110148429824/63038098935 |
j-invariant |
L |
5.4277717449873 |
L(r)(E,1)/r! |
Ω |
0.37139776441945 |
Real period |
R |
7.3072218791344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bu1 |
Quadratic twists by: -11 |