Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600ci |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-29901619200 = -1 · 215 · 3 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48408,4083348] |
[a1,a2,a3,a4,a6] |
Generators |
[134:144:1] |
Generators of the group modulo torsion |
j |
-122513556330625/292008 |
j-invariant |
L |
6.2009659646971 |
L(r)(E,1)/r! |
Ω |
1.017075278118 |
Real period |
R |
1.5242150945236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3450e2 110400fm2 82800dw2 27600cb2 |
Quadratic twists by: -4 8 -3 5 |