Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bp |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5813592750 = -1 · 2 · 37 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,3287] |
[a1,a2,a3,a4,a6] |
Generators |
[30:503:8] |
Generators of the group modulo torsion |
j |
2294744759/7974750 |
j-invariant |
L |
6.7230701121526 |
L(r)(E,1)/r! |
Ω |
0.95628568581439 |
Real period |
R |
3.5151995956246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510i1 97650bm1 |
Quadratic twists by: -3 5 |