Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bq |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
898350384889720000 = 26 · 54 · 710 · 433 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-241350,-1904300] |
[a1,a2,a3,a4,a6] |
j |
8806594825/5088448 |
j-invariant |
L |
1.412334459373 |
L(r)(E,1)/r! |
Ω |
0.23538900501444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350cg1 105350bb1 |
Quadratic twists by: 5 -7 |