Atkin-Lehner |
2+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642a |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1260000 |
Modular degree for the optimal curve |
Δ |
-829209167473514842 = -1 · 2 · 78 · 175 · 373 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,167620,34911778] |
[a1,a2,a3,a4,a6] |
j |
90347355174951/143840033242 |
j-invariant |
L |
2.3075030679481 |
L(r)(E,1)/r! |
Ω |
0.19229192188706 |
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 |
61642l1 |
Quadratic twists by: -7 |