Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190b |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
707892539062500 = 22 · 34 · 510 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-206288,-36126132] |
[a1,a2,a3,a4,a6] |
Generators |
[4214:8365:8] |
Generators of the group modulo torsion |
j |
970842763014711063049/707892539062500 |
j-invariant |
L |
3.0730034809584 |
L(r)(E,1)/r! |
Ω |
0.22402670846798 |
Real period |
R |
6.8585649942666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113520bh2 42570bb2 70950bv2 |
Quadratic twists by: -4 -3 5 |