Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350ba |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
776160 |
Modular degree for the optimal curve |
Δ |
852729363920000 = 27 · 54 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 6 -6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35550,-2178700] |
[a1,a2,a3,a4,a6] |
j |
1379104825/236672 |
j-invariant |
L |
2.1105514070548 |
L(r)(E,1)/r! |
Ω |
0.35175850245463 |
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 |
105350ca1 105350bk1 |
Quadratic twists by: 5 -7 |