Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92046q |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4968000 |
Modular degree for the optimal curve |
Δ |
-223250209814839296 = -1 · 215 · 3 · 238 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29206630,60741192803] |
[a1,a2,a3,a4,a6] |
Generators |
[3121:-1425:1] |
Generators of the group modulo torsion |
j |
-35184012929675041/2850816 |
j-invariant |
L |
9.9735182206343 |
L(r)(E,1)/r! |
Ω |
0.24016814723433 |
Real period |
R |
2.7684820925104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92046s1 |
Quadratic twists by: -23 |