Atkin-Lehner |
2+ 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450d |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-58406250 = -1 · 2 · 3 · 56 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25,375] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
103823/3738 |
j-invariant |
L |
2.4579019307973 |
L(r)(E,1)/r! |
Ω |
1.4948771938654 |
Real period |
R |
0.82210831582279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3738e1 |
Quadratic twists by: 5 |