Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885d |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
305760 |
Modular degree for the optimal curve |
Δ |
-355416424298203125 = -1 · 3 · 57 · 11 · 1310 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-171961,39627908] |
[a1,a2,a3,a4,a6] |
Generators |
[568:10923:1] |
Generators of the group modulo torsion |
j |
-4079249161/2578125 |
j-invariant |
L |
1.8302827476269 |
L(r)(E,1)/r! |
Ω |
0.27988831391287 |
Real period |
R |
6.5393325003082 |
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 |
83655bc1 27885m1 |
Quadratic twists by: -3 13 |