Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61088d |
Isogeny class |
Conductor |
61088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-10240604535488 = -1 · 26 · 234 · 833 |
Discriminant |
Eigenvalues |
2- 1 0 1 5 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66198,6535436] |
[a1,a2,a3,a4,a6] |
j |
-501285225055672000/160009445867 |
j-invariant |
L |
2.8341585188075 |
L(r)(E,1)/r! |
Ω |
0.70853962998461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61088b1 122176i1 |
Quadratic twists by: -4 8 |