Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840cl |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
356693177984000000 = 213 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213000,-24687500] |
[a1,a2,a3,a4,a6] |
j |
147281603041/49156250 |
j-invariant |
L |
2.7383562897781 |
L(r)(E,1)/r! |
Ω |
0.22819629343221 |
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 |
15730n2 11440w2 |
Quadratic twists by: -4 -11 |