Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126by |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
662285986362 = 2 · 39 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18162153,29796503211] |
[a1,a2,a3,a4,a6] |
Generators |
[2463:-1038:1] |
Generators of the group modulo torsion |
j |
7725203825376001537/7722 |
j-invariant |
L |
3.7241020614142 |
L(r)(E,1)/r! |
Ω |
0.40201292511926 |
Real period |
R |
2.3159094180853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dm4 2574j3 |
Quadratic twists by: -3 -7 |