Atkin-Lehner |
2+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514d |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2664480 |
Modular degree for the optimal curve |
Δ |
2.6697927237253E+19 |
Discriminant |
Eigenvalues |
2+ 1 1 2 1 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-855908,-176397470] |
[a1,a2,a3,a4,a6] |
j |
361714201/139264 |
j-invariant |
L |
1.9459429660234 |
L(r)(E,1)/r! |
Ω |
0.16216185637941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514g1 |
Quadratic twists by: 61 |