Atkin-Lehner |
2+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150i |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-246424062500 = -1 · 22 · 57 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11+ -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,308,23716] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:88:1] [14:-182:1] |
Generators of the group modulo torsion |
j |
206425071/15771140 |
j-invariant |
L |
4.9673847556737 |
L(r)(E,1)/r! |
Ω |
0.75407775866413 |
Real period |
R |
0.13723675207081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630m1 |
Quadratic twists by: 5 |