Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600l |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-195570288000000 = -1 · 210 · 312 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6192,644112] |
[a1,a2,a3,a4,a6] |
j |
1640689628/12223143 |
j-invariant |
L |
1.6488615008507 |
L(r)(E,1)/r! |
Ω |
0.41221537521266 |
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 |
13800l4 110400it3 82800bc3 1104c4 |
Quadratic twists by: -4 8 -3 5 |