Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cg |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
1.4036724763902E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6033763,-225969983] |
[a1,a2,a3,a4,a6] |
Generators |
[-1738915368:96520962725:1295029] |
Generators of the group modulo torsion |
j |
8806594825/5088448 |
j-invariant |
L |
10.619860977949 |
L(r)(E,1)/r! |
Ω |
0.10526916327366 |
Real period |
R |
16.81382060999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350bq1 105350bv1 |
Quadratic twists by: 5 -7 |