Atkin-Lehner |
5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52855i |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
252960 |
Modular degree for the optimal curve |
Δ |
-234545035296275 = -1 · 52 · 11 · 318 |
Discriminant |
Eigenvalues |
2 1 5- 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9930,-832769] |
[a1,a2,a3,a4,a6] |
Generators |
[73372559890:176353945697:563559976] |
Generators of the group modulo torsion |
j |
-126976/275 |
j-invariant |
L |
17.944616328057 |
L(r)(E,1)/r! |
Ω |
0.22400724880451 |
Real period |
R |
13.351216998426 |
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 |
52855g1 |
Quadratic twists by: -31 |