Atkin-Lehner |
2- 3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bh |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
255480053341455360 = 210 · 312 · 5 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3450002,-2465494639] |
[a1,a2,a3,a4,a6] |
Generators |
[-366513:86857:343] |
Generators of the group modulo torsion |
j |
6229513141124471200729/350452748067840 |
j-invariant |
L |
11.02961978816 |
L(r)(E,1)/r! |
Ω |
0.11077613125506 |
Real period |
R |
4.9783376902597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490k1 |
Quadratic twists by: -3 |