Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200w |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
38020403200 = 212 · 52 · 135 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1573,-22637] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:13:1] |
Generators of the group modulo torsion |
j |
4206161920/371293 |
j-invariant |
L |
4.5718121794283 |
L(r)(E,1)/r! |
Ω |
0.76231612512862 |
Real period |
R |
1.199453095304 |
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 |
325e1 20800ck1 46800dw1 5200bf2 |
Quadratic twists by: -4 8 -3 5 |