Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990ci |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4293206971200 = -1 · 26 · 37 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1948,-94521] |
[a1,a2,a3,a4,a6] |
Generators |
[47:291:1] |
Generators of the group modulo torsion |
j |
1121946206471/5889172800 |
j-invariant |
L |
10.472890377377 |
L(r)(E,1)/r! |
Ω |
0.39071820456239 |
Real period |
R |
0.11168418243521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330d1 |
Quadratic twists by: -3 |