Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10659l |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-85474521 = -1 · 37 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- -3 3 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1607,24666] |
[a1,a2,a3,a4,a6] |
Generators |
[25:4:1] |
Generators of the group modulo torsion |
j |
-458974157210353/85474521 |
j-invariant |
L |
3.178210040196 |
L(r)(E,1)/r! |
Ω |
1.8596917605531 |
Real period |
R |
0.12207130648556 |
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 |
31977o1 117249z1 |
Quadratic twists by: -3 -11 |