Atkin-Lehner |
7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
66913f |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
-25874149756763 = -1 · 75 · 117 · 79 |
Discriminant |
Eigenvalues |
0 -1 0 7- 11- -7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5243,286791] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2964:1] |
Generators of the group modulo torsion |
j |
-8998912000/14605283 |
j-invariant |
L |
1.9367226048496 |
L(r)(E,1)/r! |
Ω |
0.60021249899918 |
Real period |
R |
0.16133641075516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083b1 |
Quadratic twists by: -11 |