Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dy |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3428360496418129272 = 23 · 39 · 712 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-629831,-170365625] |
[a1,a2,a3,a4,a6] |
j |
11932065561051/1480495016 |
j-invariant |
L |
2.0502032715097 |
L(r)(E,1)/r! |
Ω |
0.17085026066303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126ba2 18018u2 |
Quadratic twists by: -3 -7 |