Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350c |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
242040100097656250 = 2 · 516 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-554942,157486466] |
[a1,a2,a3,a4,a6] |
j |
1209614297183525169/15490566406250 |
j-invariant |
L |
0.62720178064321 |
L(r)(E,1)/r! |
Ω |
0.3136008903216 |
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 |
98800bg2 111150ej2 2470e2 |
Quadratic twists by: -4 -3 5 |