Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bv |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-5.4989358299053E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 3 2 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1262462,-651897957] |
[a1,a2,a3,a4,a6] |
Generators |
[769414703351392096:79541034721471991049:70506419683328] |
Generators of the group modulo torsion |
j |
-63239829700321/15627554046 |
j-invariant |
L |
13.149236451054 |
L(r)(E,1)/r! |
Ω |
0.070298636795039 |
Real period |
R |
23.381030291867 |
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 |
29406e1 6786d1 |
Quadratic twists by: -3 13 |