Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600jj |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
19584000 = 210 · 32 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,243] |
[a1,a2,a3,a4,a6] |
j |
702464/153 |
j-invariant |
L |
4.0916925219497 |
L(r)(E,1)/r! |
Ω |
2.0458462919253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600bs1 20400n1 81600hq1 |
Quadratic twists by: -4 8 5 |