Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dt |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-113639424000 = -1 · 220 · 3 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7248,-240492] |
[a1,a2,a3,a4,a6] |
j |
-82256120549/221952 |
j-invariant |
L |
4.1386605813868 |
L(r)(E,1)/r! |
Ω |
0.25866628633668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550x1 81600hg1 61200hk1 20400cu1 |
Quadratic twists by: -4 8 -3 5 |