Atkin-Lehner |
2+ 3- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270t |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41787578888460000 = 25 · 38 · 54 · 23 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-335394,-74028492] |
[a1,a2,a3,a4,a6] |
j |
5723514394323160609/57321781740000 |
j-invariant |
L |
1.5880461647831 |
L(r)(E,1)/r! |
Ω |
0.19850585147152 |
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 |
42090r3 |
Quadratic twists by: -3 |