Atkin-Lehner |
2+ 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998i |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2920329361965312 = 28 · 36 · 118 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39691,1578806] |
[a1,a2,a3,a4,a6] |
j |
3903264618625/1648449792 |
j-invariant |
L |
2.4487428585666 |
L(r)(E,1)/r! |
Ω |
0.40812380982521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818c1 |
Quadratic twists by: -11 |