Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350cu |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
113251250000000 = 27 · 510 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 6 -6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18138,781031] |
[a1,a2,a3,a4,a6] |
j |
1379104825/236672 |
j-invariant |
L |
7.9066314280998 |
L(r)(E,1)/r! |
Ω |
0.56475943990052 |
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 |
105350bk1 105350ca1 |
Quadratic twists by: 5 -7 |