Atkin-Lehner |
3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
549a |
Isogeny class |
Conductor |
549 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
100467 = 33 · 612 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
7414875/3721 |
j-invariant |
L |
2.3235893668019 |
L(r)(E,1)/r! |
Ω |
2.9764069064814 |
Real period |
R |
0.7806692565261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8784g2 35136e2 549b2 13725b2 |
Quadratic twists by: -4 8 -3 5 |