Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ek |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1394182056960 = -1 · 210 · 38 · 5 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1099,-55419] |
[a1,a2,a3,a4,a6] |
Generators |
[17705:213664:125] |
Generators of the group modulo torsion |
j |
143225913344/1361505915 |
j-invariant |
L |
5.4380327904658 |
L(r)(E,1)/r! |
Ω |
0.42205527882769 |
Real period |
R |
6.4423229172121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920cp1 18480cx1 |
Quadratic twists by: -4 8 |