Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830c |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-4469547301936929000 = -1 · 23 · 36 · 53 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,192767,96438973] |
[a1,a2,a3,a4,a6] |
j |
129205871/729000 |
j-invariant |
L |
0.35402332653891 |
L(r)(E,1)/r! |
Ω |
0.17701166326945 |
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 |
86640dg1 32490by1 54150cm1 10830ba1 |
Quadratic twists by: -4 -3 5 -19 |