Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11655c |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-22303299375 = -1 · 39 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,7656] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:96:1] [-4:96:1] |
Generators of the group modulo torsion |
j |
-5841725401/30594375 |
j-invariant |
L |
3.8020793727632 |
L(r)(E,1)/r! |
Ω |
1.0443347884788 |
Real period |
R |
0.91016774857721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3885d1 58275ba1 81585y1 |
Quadratic twists by: -3 5 -7 |