Atkin-Lehner |
5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92455a |
Isogeny class |
Conductor |
92455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1398381875 = -1 · 54 · 113 · 412 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1011,12846] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-13:1] |
Generators of the group modulo torsion |
j |
-68051697664/831875 |
j-invariant |
L |
2.9552357317885 |
L(r)(E,1)/r! |
Ω |
1.5242964420001 |
Real period |
R |
0.96937697142817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92455e1 |
Quadratic twists by: 41 |