Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368m |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
230223092736 = 210 · 3 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1632,-11100] |
[a1,a2,a3,a4,a6] |
j |
469732169092/224827239 |
j-invariant |
L |
3.1502032546519 |
L(r)(E,1)/r! |
Ω |
0.78755081366298 |
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 |
2184h4 17472cf3 13104ba4 109200b3 |
Quadratic twists by: -4 8 -3 5 |