Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92450i |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-591680000000 = -1 · 212 · 57 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35901,2615448] |
[a1,a2,a3,a4,a6] |
j |
-177120578761/20480 |
j-invariant |
L |
3.5268532774098 |
L(r)(E,1)/r! |
Ω |
0.88171330383614 |
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 |
18490j1 92450v1 |
Quadratic twists by: 5 -43 |