Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470n |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-1.2146380076345E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1993746,-1280170540] |
[a1,a2,a3,a4,a6] |
Generators |
[3715:237700:1] |
Generators of the group modulo torsion |
j |
9225324907317/12784844800 |
j-invariant |
L |
5.518118586757 |
L(r)(E,1)/r! |
Ω |
0.081718227210418 |
Real period |
R |
2.1101926779618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470di1 8190ba1 |
Quadratic twists by: -3 13 |