Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885i |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-143300764035 = -1 · 34 · 5 · 115 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-112311,14524616] |
[a1,a2,a3,a4,a6] |
Generators |
[216:544:1] |
Generators of the group modulo torsion |
j |
-71312293562908672/65225655 |
j-invariant |
L |
2.9522386871628 |
L(r)(E,1)/r! |
Ω |
0.86384863197614 |
Real period |
R |
0.17087708296818 |
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 |
83655ba1 27885l1 |
Quadratic twists by: -3 13 |