Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162s |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-33521672 = -1 · 23 · 232 · 892 |
Discriminant |
Eigenvalues |
2- 1 4 -2 -4 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241,-1487] |
[a1,a2,a3,a4,a6] |
j |
-2927061121/63368 |
j-invariant |
L |
3.6303676381324 |
L(r)(E,1)/r! |
Ω |
0.60506128492023 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162o1 |
Quadratic twists by: -23 |