Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504w |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5074119936 = 28 · 39 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-903,9866] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-54:1] [-19:142:1] |
Generators of the group modulo torsion |
j |
436334416/27189 |
j-invariant |
L |
8.562562875824 |
L(r)(E,1)/r! |
Ω |
1.3407347796269 |
Real period |
R |
0.39915439493933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168f1 |
Quadratic twists by: -3 |