Atkin-Lehner |
3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
106641f |
Isogeny class |
Conductor |
106641 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
887808 |
Modular degree for the optimal curve |
Δ |
-95700772096708491 = -1 · 39 · 179 · 41 |
Discriminant |
Eigenvalues |
1 3- -3 3 2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72774,-12841277] |
[a1,a2,a3,a4,a6] |
Generators |
[1126:2785:8] |
Generators of the group modulo torsion |
j |
493039/1107 |
j-invariant |
L |
7.5060223536977 |
L(r)(E,1)/r! |
Ω |
0.17512534032406 |
Real period |
R |
5.357607254787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35547c1 106641c1 |
Quadratic twists by: -3 17 |