Atkin-Lehner |
3+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10659a |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
49392 |
Modular degree for the optimal curve |
Δ |
-4969438306447131 = -1 · 37 · 117 · 17 · 193 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11- -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,34001,-2394645] |
[a1,a2,a3,a4,a6] |
Generators |
[525:12644:1] |
Generators of the group modulo torsion |
j |
4346963661717536768/4969438306447131 |
j-invariant |
L |
1.820991409255 |
L(r)(E,1)/r! |
Ω |
0.23269144268269 |
Real period |
R |
0.37265606174197 |
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 |
31977q1 117249f1 |
Quadratic twists by: -3 -11 |