Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150j |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
13575677036062500 = 22 · 35 · 56 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-862075,307671625] |
[a1,a2,a3,a4,a6] |
j |
96386901625/18468 |
j-invariant |
L |
0.77142561194857 |
L(r)(E,1)/r! |
Ω |
0.38571280585778 |
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 |
2166i1 2850ba1 |
Quadratic twists by: 5 -19 |