Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600bu |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1408106073600000000 = 215 · 314 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301408,28333312] |
[a1,a2,a3,a4,a6] |
Generators |
[7322:624750:1] |
Generators of the group modulo torsion |
j |
47316161414809/22001657400 |
j-invariant |
L |
5.6170491869419 |
L(r)(E,1)/r! |
Ω |
0.24135159368678 |
Real period |
R |
5.8183261824982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450u2 110400ip2 82800dl2 5520z2 |
Quadratic twists by: -4 8 -3 5 |