Atkin-Lehner |
3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1089k |
Isogeny class |
Conductor |
1089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-2381643 = -1 · 39 · 112 |
Discriminant |
Eigenvalues |
-2 3- -4 -1 11- 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
1.0707461765304 |
L(r)(E,1)/r! |
Ω |
1.5054077862589 |
Real period |
R |
0.17781663319135 |
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 |
17424ci1 69696dn1 363b1 27225bp1 |
Quadratic twists by: -4 8 -3 5 |