Atkin-Lehner |
2+ 3+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
32232b |
Isogeny class |
Conductor |
32232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7360 |
Modular degree for the optimal curve |
Δ |
-81482496 = -1 · 28 · 3 · 17 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -3 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,-411] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] [29:158:1] |
Generators of the group modulo torsion |
j |
106314752/318291 |
j-invariant |
L |
5.7136931003877 |
L(r)(E,1)/r! |
Ω |
0.98602296514546 |
Real period |
R |
0.72433570291455 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64464d1 96696e1 |
Quadratic twists by: -4 -3 |