Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470o |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
2.3742851081809E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1565394,137079008] |
[a1,a2,a3,a4,a6] |
Generators |
[3247:169489:1] |
Generators of the group modulo torsion |
j |
4465226119563/2499087500 |
j-invariant |
L |
6.3467741132536 |
L(r)(E,1)/r! |
Ω |
0.15219007141469 |
Real period |
R |
2.0851472351424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999696288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470dj1 8190bb1 |
Quadratic twists by: -3 13 |