Atkin-Lehner |
3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565by |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
800895369573453825 = 39 · 52 · 117 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-273362,34308024] |
[a1,a2,a3,a4,a6] |
Generators |
[-448:8391:1] |
Generators of the group modulo torsion |
j |
1749254553649/620143425 |
j-invariant |
L |
3.6740898904626 |
L(r)(E,1)/r! |
Ω |
0.25947713132517 |
Real period |
R |
1.7699487963851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30855c1 8415q1 |
Quadratic twists by: -3 -11 |