Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720es |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-86568750000000000 = -1 · 210 · 36 · 514 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937272,-349544936] |
[a1,a2,a3,a4,a6] |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
1.0740053038702 |
L(r)(E,1)/r! |
Ω |
0.076714664537062 |
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 |
54720cm1 13680r1 6080n1 |
Quadratic twists by: -4 8 -3 |