Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bp |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-3486541257728 = -1 · 210 · 237 |
Discriminant |
Eigenvalues |
2- 3 0 -2 0 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116380,-15281752] |
[a1,a2,a3,a4,a6] |
Generators |
[48587406288363:-938358898401655:80118732231] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
10.08457234493 |
L(r)(E,1)/r! |
Ω |
0.12924074405673 |
Real period |
R |
19.507339613627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33856u1 8464j1 1472k1 |
Quadratic twists by: -4 8 -23 |