Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584n |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2018683441152 = -1 · 212 · 39 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3699,110322] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:378:1] |
Generators of the group modulo torsion |
j |
-69426531/25039 |
j-invariant |
L |
6.1965305626851 |
L(r)(E,1)/r! |
Ω |
0.77991828731708 |
Real period |
R |
1.9862755701947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4599a1 73584o1 |
Quadratic twists by: -4 -3 |