Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150m |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-9541539700 = -1 · 22 · 52 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-381,5468] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:86:1] |
Generators of the group modulo torsion |
j |
-243735630385/381661588 |
j-invariant |
L |
3.4672590345549 |
L(r)(E,1)/r! |
Ω |
1.1612005445126 |
Real period |
R |
0.12441358827616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73150br1 |
Quadratic twists by: 5 |