Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150bs |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
6308456000 = 26 · 53 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-82128,9024881] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1777:1] |
Generators of the group modulo torsion |
j |
490103462079877589/50467648 |
j-invariant |
L |
14.301394261982 |
L(r)(E,1)/r! |
Ω |
1.0321897273143 |
Real period |
R |
2.3092321569421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73150ba1 |
Quadratic twists by: 5 |