Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bc |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
868656250000 = 24 · 59 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4380,103247] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:405:1] |
Generators of the group modulo torsion |
j |
594611161929/55594000 |
j-invariant |
L |
9.1079760962845 |
L(r)(E,1)/r! |
Ω |
0.86477967057255 |
Real period |
R |
1.3165168549559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630e1 |
Quadratic twists by: 5 |