Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cc |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18601574400 = 215 · 33 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1345,17375] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-120:1] |
Generators of the group modulo torsion |
j |
8217949832/567675 |
j-invariant |
L |
6.994025624768 |
L(r)(E,1)/r! |
Ω |
1.2004066471872 |
Real period |
R |
0.48553169052868 |
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 |
27840v2 13920u2 83520bp2 |
Quadratic twists by: -4 8 -3 |