Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15480a |
Isogeny class |
Conductor |
15480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
185760000 = 28 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-663,6538] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
4662947952/26875 |
j-invariant |
L |
4.670483261512 |
L(r)(E,1)/r! |
Ω |
1.8064545221202 |
Real period |
R |
1.2927209637224 |
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 |
30960a2 123840v2 15480k2 77400y2 |
Quadratic twists by: -4 8 -3 5 |