Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10659j |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-11738725024958811 = -1 · 35 · 11 · 173 · 197 |
Discriminant |
Eigenvalues |
0 3- -2 1 11- 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-75809,-9602233] |
[a1,a2,a3,a4,a6] |
Generators |
[895:25303:1] |
Generators of the group modulo torsion |
j |
-48182767872846856192/11738725024958811 |
j-invariant |
L |
4.0107888191022 |
L(r)(E,1)/r! |
Ω |
0.14203345495896 |
Real period |
R |
5.6476677558271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31977n1 117249w1 |
Quadratic twists by: -3 -11 |