Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304r |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-126092132352 = -1 · 214 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,16794] |
[a1,a2,a3,a4,a6] |
Generators |
[15:162:1] |
Generators of the group modulo torsion |
j |
91125/1564 |
j-invariant |
L |
4.5848211079316 |
L(r)(E,1)/r! |
Ω |
0.77707010680415 |
Real period |
R |
1.4750345778824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7038j1 56304t1 |
Quadratic twists by: -4 -3 |