Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885f |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
435703125 = 3 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 5 11+ 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3676,84248] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-12:1] |
Generators of the group modulo torsion |
j |
32506551525721/2578125 |
j-invariant |
L |
3.3496932345724 |
L(r)(E,1)/r! |
Ω |
1.5954769159151 |
Real period |
R |
2.0994933873119 |
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 |
83655be1 27885n1 |
Quadratic twists by: -3 13 |