Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
1128c |
Isogeny class |
Conductor |
1128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13572096 = 211 · 3 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,460] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
76545506/6627 |
j-invariant |
L |
2.3767150297259 |
L(r)(E,1)/r! |
Ω |
2.179322388255 |
Real period |
R |
2.1811504736836 |
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 |
2256d2 9024w2 3384b2 28200i2 |
Quadratic twists by: -4 8 -3 5 |