Atkin-Lehner |
5+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83545b |
Isogeny class |
Conductor |
83545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-175517601875 = -1 · 54 · 77 · 11 · 31 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 11+ -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1346,-6569] |
[a1,a2,a3,a4,a6] |
Generators |
[11:92:1] |
Generators of the group modulo torsion |
j |
2294744759/1491875 |
j-invariant |
L |
5.9955897831743 |
L(r)(E,1)/r! |
Ω |
0.5800032791585 |
Real period |
R |
1.2921456647242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11935d1 |
Quadratic twists by: -7 |