Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400h |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-5320000000000 = -1 · 212 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -6 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2500,-100000] |
[a1,a2,a3,a4,a6] |
j |
43200/133 |
j-invariant |
L |
0.78199479806848 |
L(r)(E,1)/r! |
Ω |
0.39099738405849 |
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 |
106400by1 106400cp1 |
Quadratic twists by: -4 5 |