Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720ei |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
186785482014720 = 217 · 37 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27372,-1614256] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:252:1] [784:21420:1] |
Generators of the group modulo torsion |
j |
23735908082/1954815 |
j-invariant |
L |
10.139798903438 |
L(r)(E,1)/r! |
Ω |
0.37311310396786 |
Real period |
R |
13.588103440496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cc3 13680l3 18240bs4 |
Quadratic twists by: -4 8 -3 |