Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gd |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-60591884493127680 = -1 · 218 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239,11843775] |
[a1,a2,a3,a4,a6] |
Generators |
[31:3456:1] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
7.2163547740058 |
L(r)(E,1)/r! |
Ω |
0.27739108483674 |
Real period |
R |
2.1679243878862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920n1 18480cd1 |
Quadratic twists by: -4 8 |