Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088bf |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-423844996150576 = -1 · 24 · 77 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11- 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7502,-1021603] |
[a1,a2,a3,a4,a6] |
Generators |
[1342:49049:1] |
Generators of the group modulo torsion |
j |
-199326099456/1809323971 |
j-invariant |
L |
7.3785333241321 |
L(r)(E,1)/r! |
Ω |
0.22442045244492 |
Real period |
R |
0.26093784066779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88088b1 |
Quadratic twists by: -11 |