Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713h |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
201457156576473 = 37 · 78 · 19 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16191,-399056] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:791:8] |
Generators of the group modulo torsion |
j |
643920557108977/276347265537 |
j-invariant |
L |
8.8647352338738 |
L(r)(E,1)/r! |
Ω |
0.43997627619432 |
Real period |
R |
2.5185264846982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571e1 |
Quadratic twists by: -3 |