Atkin-Lehner |
2+ 3- 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458h |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1320960 |
Modular degree for the optimal curve |
Δ |
-347701259549952 = -1 · 28 · 36 · 74 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-581085,-170350587] |
[a1,a2,a3,a4,a6] |
Generators |
[93031142:501086869:103823] |
Generators of the group modulo torsion |
j |
-29765665614882148561/476956460288 |
j-invariant |
L |
6.3409344336546 |
L(r)(E,1)/r! |
Ω |
0.08645879736617 |
Real period |
R |
9.1675668435878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162f1 |
Quadratic twists by: -3 |