Atkin-Lehner |
2- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5456h |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-715128832 = -1 · 221 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 2 0 1 11- -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528,-4672] |
[a1,a2,a3,a4,a6] |
Generators |
[434:9018:1] |
Generators of the group modulo torsion |
j |
-3981876625/174592 |
j-invariant |
L |
5.3729690461532 |
L(r)(E,1)/r! |
Ω |
0.49662715717928 |
Real period |
R |
5.409459559834 |
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 |
682a1 21824q1 49104bc1 60016i1 |
Quadratic twists by: -4 8 -3 -11 |