Atkin-Lehner |
5+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
54325b |
Isogeny class |
Conductor |
54325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
33953125 = 56 · 41 · 53 |
Discriminant |
Eigenvalues |
0 -1 5+ -4 -6 -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-83,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
4096000/2173 |
j-invariant |
L |
4.9994457640307 |
L(r)(E,1)/r! |
Ω |
1.6780287101828 |
Real period |
R |
1.4896782557103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2173c1 |
Quadratic twists by: 5 |