Atkin-Lehner |
2+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20240d |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-1113200 = -1 · 24 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 11+ -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-43] |
[a1,a2,a3,a4,a6] |
j |
33958656/69575 |
j-invariant |
L |
5.7339134770643 |
L(r)(E,1)/r! |
Ω |
1.4334783692661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10120a1 80960cj1 101200b1 |
Quadratic twists by: -4 8 5 |