Atkin-Lehner |
2- 3- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
73530bf |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-5504232268800 = -1 · 210 · 36 · 52 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4583,-163169] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3302:1] |
Generators of the group modulo torsion |
j |
-14600136398121/7550387200 |
j-invariant |
L |
10.203750516791 |
L(r)(E,1)/r! |
Ω |
0.28322681807943 |
Real period |
R |
0.30022317406899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8170c1 |
Quadratic twists by: -3 |