Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650p |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1761408 |
Modular degree for the optimal curve |
Δ |
-3346252441406250 = -1 · 2 · 3 · 517 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1252026,539125198] |
[a1,a2,a3,a4,a6] |
j |
-13891310873929684369/214160156250 |
j-invariant |
L |
0.81719327191107 |
L(r)(E,1)/r! |
Ω |
0.4085963123457 |
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 |
21930z1 |
Quadratic twists by: 5 |