Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248bf |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
72640032768 = 212 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20808,-1162188] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:6:1] |
Generators of the group modulo torsion |
j |
243262773015625/17734383 |
j-invariant |
L |
8.0830967748927 |
L(r)(E,1)/r! |
Ω |
0.39750457399598 |
Real period |
R |
1.129700036969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703a1 129744v1 |
Quadratic twists by: -4 -3 |