Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800i |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
547428000000 = 28 · 3 · 56 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2108,-11712] |
[a1,a2,a3,a4,a6] |
j |
259108432/136857 |
j-invariant |
L |
1.4953298545039 |
L(r)(E,1)/r! |
Ω |
0.74766493905586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192n1 |
Quadratic twists by: 5 |