Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150ba |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1221120 |
Modular degree for the optimal curve |
Δ |
98569625000000 = 26 · 59 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2053201,1132216548] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:38586:1] |
Generators of the group modulo torsion |
j |
490103462079877589/50467648 |
j-invariant |
L |
3.1609356307662 |
L(r)(E,1)/r! |
Ω |
0.46160927919033 |
Real period |
R |
1.1412738634223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73150bs1 |
Quadratic twists by: 5 |