Atkin-Lehner |
3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
61557b |
Isogeny class |
Conductor |
61557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5953536 |
Modular degree for the optimal curve |
Δ |
-2.404157894189E+21 |
Discriminant |
Eigenvalues |
-2 3+ -3 2 5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14061102,20435782340] |
[a1,a2,a3,a4,a6] |
j |
-12737620064548237312/99602320937499 |
j-invariant |
L |
0.58364930615794 |
L(r)(E,1)/r! |
Ω |
0.14591232581765 |
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 |
3621b1 |
Quadratic twists by: 17 |