Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5456d |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-698368 = -1 · 211 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ -2 0 3 11- 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-31250/341 |
j-invariant |
L |
2.9957098859007 |
L(r)(E,1)/r! |
Ω |
1.2165773570161 |
Real period |
R |
1.2312040285084 |
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 |
2728a1 21824s1 49104m1 60016g1 |
Quadratic twists by: -4 8 -3 -11 |