Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056o |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-40127336913664 = -1 · 28 · 77 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11+ 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8559,-5851] |
[a1,a2,a3,a4,a6] |
Generators |
[1255:35574:125] |
Generators of the group modulo torsion |
j |
2302045184/1332331 |
j-invariant |
L |
8.4934622629126 |
L(r)(E,1)/r! |
Ω |
0.3850249347049 |
Real period |
R |
2.7574390309789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112p1 8008c1 |
Quadratic twists by: -4 -7 |