Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59168d |
Isogeny class |
Conductor |
59168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
748044817766464 = 26 · 438 |
Discriminant |
Eigenvalues |
2+ -1 -3 3 4 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26502,-1004144] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:524:1] |
Generators of the group modulo torsion |
j |
2752 |
j-invariant |
L |
3.7076070600647 |
L(r)(E,1)/r! |
Ω |
0.38553434892041 |
Real period |
R |
4.808400432513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59168c1 118336w1 59168i1 |
Quadratic twists by: -4 8 -43 |