Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536t |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-243134536264187904 = -1 · 219 · 320 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12063,23714145] |
[a1,a2,a3,a4,a6] |
Generators |
[-2515128:5344975:9261] |
Generators of the group modulo torsion |
j |
740480746823/927484650666 |
j-invariant |
L |
6.0009200903823 |
L(r)(E,1)/r! |
Ω |
0.24444284936623 |
Real period |
R |
12.274689372057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cs3 798d4 76608co3 |
Quadratic twists by: -4 8 -3 |