Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565bo |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2787840 |
Modular degree for the optimal curve |
Δ |
633387841296653025 = 37 · 52 · 119 · 173 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3698267,-2736252934] |
[a1,a2,a3,a4,a6] |
Generators |
[-1110:1072:1] [-1104:934:1] |
Generators of the group modulo torsion |
j |
3254293315259/368475 |
j-invariant |
L |
7.3406910758758 |
L(r)(E,1)/r! |
Ω |
0.10886867791315 |
Real period |
R |
5.6189187561328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30855f1 92565bh1 |
Quadratic twists by: -3 -11 |