Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fd |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
432615691462500 = 22 · 38 · 55 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64733,-6243519] |
[a1,a2,a3,a4,a6] |
Generators |
[3486:53763:8] |
Generators of the group modulo torsion |
j |
18729968230693/270112500 |
j-invariant |
L |
12.008841658199 |
L(r)(E,1)/r! |
Ω |
0.29956971881622 |
Real period |
R |
5.0108709782609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490w1 106470cr1 |
Quadratic twists by: -3 13 |