Atkin-Lehner |
2- 3+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73776h |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1822039068082176 = -1 · 215 · 35 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -2 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-473320,125512048] |
[a1,a2,a3,a4,a6] |
j |
-2863052087679400681/444833756856 |
j-invariant |
L |
1.8166261272057 |
L(r)(E,1)/r! |
Ω |
0.45415653607432 |
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 |
9222e1 |
Quadratic twists by: -4 |