Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756i |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-72577790208 = -1 · 28 · 33 · 73 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,585,-11762] |
[a1,a2,a3,a4,a6] |
j |
3203226000/10500259 |
j-invariant |
L |
3.3473722545852 |
L(r)(E,1)/r! |
Ω |
0.55789537557995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63756f2 |
Quadratic twists by: -3 |