Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576bu |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-135229243392 = -1 · 215 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -6 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,18034] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:144:1] |
Generators of the group modulo torsion |
j |
-3048625/45288 |
j-invariant |
L |
5.3231519938867 |
L(r)(E,1)/r! |
Ω |
0.87757840678531 |
Real period |
R |
0.758216010861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322h1 30192x1 |
Quadratic twists by: -4 -3 |