Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112ba |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-138121984 = -1 · 28 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 3 7- 11+ 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,588] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-22:1] |
Generators of the group modulo torsion |
j |
-221184/1573 |
j-invariant |
L |
8.3703040163865 |
L(r)(E,1)/r! |
Ω |
1.5831658931809 |
Real period |
R |
0.66088336277928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028h1 112112bg1 |
Quadratic twists by: -4 -7 |