Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610bk |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-19892033460 = -1 · 22 · 39 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22,-6784] |
[a1,a2,a3,a4,a6] |
Generators |
[27:103:1] |
Generators of the group modulo torsion |
j |
571787/9054180 |
j-invariant |
L |
7.3501174884223 |
L(r)(E,1)/r! |
Ω |
0.56175713343344 |
Real period |
R |
0.36344875487008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610cn1 |
Quadratic twists by: 13 |