Atkin-Lehner |
3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199a |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12040753209436413 = 38 · 72 · 11 · 237 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-707548,228721855] |
[a1,a2,a3,a4,a6] |
j |
264621653112601/81336717 |
j-invariant |
L |
1.5714296215809 |
L(r)(E,1)/r! |
Ω |
0.39285717273767 |
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 |
5313b2 |
Quadratic twists by: -23 |