Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400bo |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-918000 = -1 · 24 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-728,7323] |
[a1,a2,a3,a4,a6] |
Generators |
[13:15:1] |
Generators of the group modulo torsion |
j |
-21364083968/459 |
j-invariant |
L |
5.698020435267 |
L(r)(E,1)/r! |
Ω |
2.5824236663845 |
Real period |
R |
0.36774371490875 |
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 |
10200l1 81600he1 61200ct1 20400s1 |
Quadratic twists by: -4 8 -3 5 |