Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3300d |
Isogeny class |
Conductor |
3300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1452000000 = 28 · 3 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-888] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:22:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
3.1525877154527 |
L(r)(E,1)/r! |
Ω |
1.1879465133688 |
Real period |
R |
0.88460428141457 |
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 |
13200ce2 52800cd2 9900k2 132a2 |
Quadratic twists by: -4 8 -3 5 |