Atkin-Lehner |
2- 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776j |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-1010984245381300224 = -1 · 219 · 3 · 29 · 536 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 4 6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,245464,-12295056] |
[a1,a2,a3,a4,a6] |
Generators |
[313:9752:1] |
Generators of the group modulo torsion |
j |
399324003029024471/246822325532544 |
j-invariant |
L |
6.1726374530128 |
L(r)(E,1)/r! |
Ω |
0.16023298882376 |
Real period |
R |
3.2102406509314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9222f1 |
Quadratic twists by: -4 |