Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bw |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
600112800000000000 = 214 · 37 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240417,25935741] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:8583:1] |
Generators of the group modulo torsion |
j |
393349474783/153600000 |
j-invariant |
L |
3.776898435373 |
L(r)(E,1)/r! |
Ω |
0.26374147124664 |
Real period |
R |
1.7900571426635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350cs1 4410bm1 22050bx1 |
Quadratic twists by: -3 5 -7 |