Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3050j |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
30500000000 = 28 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4105,101897] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:380:1] |
Generators of the group modulo torsion |
j |
489490178841/1952000 |
j-invariant |
L |
4.6685587812937 |
L(r)(E,1)/r! |
Ω |
1.1801852524626 |
Real period |
R |
1.9778923569635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24400u1 97600b1 27450t1 610b1 |
Quadratic twists by: -4 8 -3 5 |